P. Koskela

发表

Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients

J. Heinonen, P. Koskela, N. Shanmugalingam, 2015 .

Lectures on Mappings of Finite Distortion

P. Koskela, S. Hencl, 2014 .

Planar Mappings of Finite Distortion

P. Koskela, 2011 .

Ahlfors reflection theorem for $p$-morphisms.

P. Koskela, Pekka Pankka, Y. Zhang, 2019, 1912.09200.

Gehring–Hayman Theorem for conformal deformations

P. Koskela, P. Lammi, 2013 .

Gromov hyperbolicity and quasihyperbolic geodesics

P. Koskela, P. Lammi, Vesna Manojlovi'c, 2012, 1204.4996.

Geometric Interpretations of LP-Poincaré Inequalities on Graphs with Polynomial Volume Growth

Pekka Koskela, Thierry Coulhon, P. Koskela, 2004 .

Mappings of finite distortion: Removable singularities

P. Koskela, Kai Rajala, 2003 .

Mappings of finite distortion: Compactness.

P. Koskela, T. Iwaniec, J. Onninen, 2002 .

A Density Problem for Sobolev Spaces on Planar Domains

P. Koskela, Y. Zhang, 2016, Archive for Rational Mechanics and Analysis.

Mappings of finite distortion: The zero set of the Jacobian

P. Koskela, J. Malý, 2003 .

Intrinsic Geometry and Analysis of Diffusion Processes and L∞-Variational Problems

P. Koskela, N. Shanmugalingam, Yuan Zhou, 2014, Archive for Rational Mechanics and Analysis.

Controlled diffeomorphic extension of homeomorphisms

P. Koskela, Haiqing Xu, Zhuang Wang, 2018, Nonlinear Analysis.

Regularity and modulus of continuity of space-filling curves

P. Koskela, Aapo Kauranen, A. Zapadinskaya, 2019, Journal d'Analyse Mathématique.

Homeomorphisms of finite distortion: discrete length of radial images

P. Koskela, Tomi Nieminen, 2008, Mathematical Proceedings of the Cambridge Philosophical Society.

Pointwise characterizations of Hardy-Sobolev functions

E. Saksman, P. Koskela, 2006, math/0611901.

Lebesgue points via the Poincaré inequality

P. Koskela, Nijjwal Karak, 2015, Science China Mathematics.

Analytic Properties of Quasiconformal Mappings Between Metric Spaces

P. Koskela, K. Wildrick, 2012 .

Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.

J. Heinonen, P. Koskela, 1995 .

Quasiconformal maps in metric spaces with controlled geometry

J. Heinonen, P. Koskela, 1998 .

Composition of quasiconformal mappings and functions in Triebel‐Lizorkin spaces

P. Koskela, S. Hencl, 2013 .

Exceptional sets for the definition of quasiconformality

P. Koskela, S. Kallunki, 2000 .

Sobolev Extensions Via Reflections

P. Koskela, Z. Zhu, 2022, Journal of Mathematical Sciences.

Metric definition of μ-homeomorphisms

P. Koskela, S. Kallunki, 2003 .

Quasiconformal mappings and global integrability of the derivative

P. Koskela, K. Astala, 1991 .

Hausdorff Dimension and mean porosity

P. Koskela, S. Rohde, 1997 .

The extension property for domains with one singular point

Pekka Koskela, Zheng Zhu, P. Koskela, 2021, 2110.07565.

Product of extension domains is still an extension domain

P. Koskela, Zheng Zhu, 2018, Indiana University Mathematics Journal.

Sobolev extension via reflections.

ZhengZhu, P. Koskela, 2018, 1812.09037.

A density problem for Sobolev spaces on Gromov hyperbolic domains

T. Rajala, P. Koskela, Y. Zhang, 2016, 1605.08260.

A geometric characterization of planar Sobolev extension domains

T. Rajala, P. Koskela, Y. Zhang, 2015, 1502.04139.

Generalized dimension estimates for images of porous sets under monotone Sobolev mappings

P. Koskela, A. Zapadinskaya, 2014 .

Boundary blow-up under Sobolev mappings

P. Koskela, Aapo Kauranen, 2013, 1304.4295.

Mappings of Finite Distortion: Decay of the Jacobian

P. Koskela, J. Onninen, Kai Rajala, 2011, Journal of Geometric Analysis.

Weighted pointwise Hardy inequalities

P. Koskela, Juha Lehrbäck, 2009 .

Sobolev embeddings, extensions and measure density condition

P. Koskela, Heli Tuominen, P. Hajłasz, 2008 .

Uniform continuity of quasiconformal mappings and conformal deformations

P. Koskela, Tomi Nieminen, 2008 .

Quasihyperbolic growth conditions and compact embeddings of Sobolev spaces

P. Koskela, Juha Lehrbäck, 2007 .

Quasihyperbolic boundary conditions and capacity: Uniform continuity of quasiconformal mappings

P. Koskela, S. Hencl, 2005 .

INTEGRAL REPRESENTATIONS AND EMBEDDING THEOREMS FOR FUNCTIONS DEFINED ON THE HEISENBERG GROUPS H n

R. Wheeden, P. Koskela, L. Capogna, 2005 .

Quasihyperbolic boundary conditions and capacity: Hölder continuity of quasiconformal mappings

P. Koskela, J. Tyson, J. Onninen, 2001 .

Uniformizing Gromov hyperbolic spaces

J. Heinonen, P. Koskela, M. Bonk, 2001 .

Sobolev met Poincaré

Pekka Koskela, P. Koskela, Piotr Hajłasz, 2000 .

Conformal Metrics on the Unit Ball in Euclidean Space

P. Koskela, S. Rohde, M. Bonk, 1998 .

Isoperimetric Inequalities and Imbedding Theorems in Irregular Domains

P. Koskela, P. Hajłasz, 1998 .

Criteria for imbeddings of Sobolev-Poincaré type

P. Koskela, S. Buckley, 1996 .

Removability theorems for solutions of degenerate elliptic partial differential equations

O. Martio, P. Koskela, 1993 .

Approximation and quasicontinuity of Besov and Triebel–Lizorkin functions

P. Koskela, Heli Tuominen, Toni Heikkinen, 2015, 1505.05680.

Mappings of BMO–bounded distortion

P. Koskela, K. Astala, G. Martin, 2000 .

Quasiconformal removability and the quasihyperbolic metric

P. Koskela, Tomi Nieminen, 2005 .

Quasiextremal distance domains and conformal mappings onto circle domains

P. Koskela, D. Herron, 1990 .

MAPPINGS OF FINITE DISTORTION : COMPOSITION OPERATOR

P. Koskela, S. Hencl, 2008 .

Sobolev meets Poincaré

P. Koskela, P. Hajłasz, 1995 .

Quasihyperbolic boundary conditions and Poincaré domains

P. Koskela, J. Tyson, J. Onninen, 2002 .

A quasiconformal composition problem for the Q-spaces

P. Koskela, Y. Zhang, Yuan Zhou, 2016, 1608.02009.

Bounded compositions on scaling invariant Besov spaces

E. Saksman, P. Koskela, H. Koch, 2012, 1209.6477.

Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces

P. Koskela, Amiran Gogatishvili, Yuan Zhou, 2011, 1106.2561.

Pointwise Characterizations of Besov and Triebel-Lizorkin Spaces and Quasiconformal Mappings

P. Koskela, Dachun Yang, Yuan Zhou, 2010, 1004.5507.

Lectures on quasiconformal and quasisymmetric mappings

P. Koskela, 2009 .

Orlicz-Hardy inequalities

P. Koskela, S. Buckley, 2004 .

Sharp inequalities via truncation

P. Koskela, J. Onninen, Jani Onninen, 2003 .

Fractional integration, differentiation, and weighted Bergman spaces

P. Koskela, S. Buckley, D. Vukotić, 1999, Mathematical Proceedings of the Cambridge Philosophical Society.

Removable sets for Sobolev spaces

P. Koskela, 1999 .

QUASICONFORMALITY, QUASISYMMETRY, AND REMOVABILITY IN LOEWNER SPACES

P. Koskela, Z. Balogh, 2000 .

Definitions of quasiconformality

J. Heinonen, P. Koskela, 1995 .

LOCALLY UNIFORM DOMAINS AND QUASICONFORMAL MAPPINGS

P. Koskela, D. Herron, 2007 .

Uniform, Sobolev extension and quasiconformal circle domains

P. Koskela, D. Herron, 1991 .

Regularity and modulus of continuity of space-filling curves

P. Koskela, Aapo Kauranen, A. Zapadinskaya, 2019, Journal d'Analyse Mathématique.

Distributional Inequalities for Non-harmonic Functions

P. Koskela, Maŕıa J. González, J. G. Llorente, 2003 .

Regularity theory and traces of -harmonic functions

P. Koskela, E. Villamor, J. Manfredi, 1996 .

Geometric Properties of Planar BV -Extension Domains

M. Miranda, P. Koskela, N. Shanmugalingam, 2010 .

Old and New on the Quasihyperbolic Metric

P. Koskela, 1998 .

The volume of the boundary of a Sobolev (p,q)-extension domain

P. Koskela, A. Ukhlov, Zheng Zhu, 2020, Journal of Functional Analysis.

Trace Operators on Regular Trees

P. Koskela, K. N. Nguyen, Zhuang Wang, 2020 .

Lebesgue points via the Poincaré inequality

P. Koskela, Nijjwal Karak, 2014, 1408.5718.

Homeomorphisms of Finite Distortion

P. Koskela, S. Hencl, 2014 .

Integrability of J f and 1∕ J f

P. Koskela, S. Hencl, 2014 .

Images and Preimages of Null Sets

P. Koskela, S. Hencl, 2014 .

Openness and Discreteness

P. Koskela, S. Hencl, 2014 .

A JORDAN SOBOLEV EXTENSION DOMAIN

P. Koskela, Dachun Yang, Yuan Zhou, 2010 .

Homeomorphisms of Bounded Variation

P. Koskela, S. Hencl, J. Onninen, 2007 .

New Poincaré inequalities from old.

P. Koskela, S. Buckley, 1998 .

Normal solutions of elliptic equations

P. Koskela, 1996, Mathematical Proceedings of the Cambridge Philosophical Society.

Sobolev mappings with integrable dilatations

J. Heinonen, P. Koskela, 1993 .

Mappings of finite distortion: Monotonicity and continuity

P. Koskela, T. Iwaniec, J. Onninen, 2001 .

Sobolev homeomorphic extensions onto John domains

P. Koskela, J. Onninen, Aleksis Koski, 2020, 2004.09669.

On functions with derivatives in a Lorentz space

P. Koskela, J. Malý, J. Kauhanen, 1999 .

Subelliptic Poincaré inequalities: the case p < 1

P. Koskela, G. Lu, S. Buckley, 1995 .

Continuity of solutions to n-harmonic equations

P. Koskela, Renjin Jiang, Dachun Yang, 2012 .

Continuity of solutions to n-harmonic equations

P. Koskela, Renjin Jiang, Dachun Yang, 2011, Manuscripta Mathematica.

Interpolation properties of Besov spaces defined on metric spaces

P. Koskela, N. Shanmugalingam, Amiran Gogatishvili, 2010 .

A Density Problem for Sobolev Spaces on Planar Domains

P. Koskela, Y. Zhang, 2015, 1508.01400.

Solvability of the divergence equation implies John via Poincar\'e inequality

P. Koskela, Renjin Jiang, Aapo Kauranen, 2013, 1307.1340.

Mappings of Finite Distortion: Generalized Hausdorff Dimension Distortion

P. Koskela, A. Zapadinskaya, T. Zürcher, 2010 .

GEOMETRIC FUNCTION THEORY AND NON-LINEAR ANALYSIS (Oxford Mathematical Monographs) By TADEUSZ IWANIEC and GAVEN MARTIN: 552 pp., £75.00, ISBN 0-19-85029-4 (Oxford University Press, 2001)

P. Koskela, 2002 .

The boundary distortion of a quasiconformal mapping.

J. Heinonen, P. Koskela, 1994 .

Mappings of finite distortion: Capacity and modulus inequalities

P. Koskela, J. Onninen, Jani Onninen, 2006 .

A note on extremal mappings of finite distortion

P. Koskela, S. Hencl, J. Onninen, 2005 .

Mappings of finite distortion: Injectivity radius of a local homeomorphism

P. Koskela, J. Onninen, Kai Rajala, 2002 .

Mappings ofBMO-distortion and beltrami-type operators

P. Koskela, G. Martin, T. Iwaniec, 2002 .

REMOVABITITY THEOREMS FOR QUASIREGUTAR MAPPINGS

O. Martio, P. Koskela, 2022 .

Hölder continuity of Sobolev functions and quasiconformal mappings

F. Reitich, P. Koskela, 1993 .

Uniform and Sobolev extension domains

P. Koskela, D. Herron, 1992 .

Global integrability of the gradients of solutions to partial differential equations

T. Kilpeläinen, P. Koskela, 1994 .

Hardy’s inequality and the boundary size

P. Koskela, X. Zhong, 2002 .

Ends of metric measure spaces and Sobolev inequalities

P. Koskela, S. Buckley, 2006 .

Quasi-Nearly Subharmonic Functions and Quasiconformal Mappings

P. Koskela, V. Manojlović, 2011, 1103.1030.

Trace and Density Results on Regular Trees

P. Koskela, K. N. Nguyen, Zhuang Wang, 2019, Potential Analysis.

Extensions and Imbeddings

Pekka Koskela, P. Koskela, 1998 .

Poincaré domains and quasiconformal mappings

P. Koskela, D. Herron, 1995 .

POINCARI~ DOMAINS AND QUASICONFORMAL MAPPINGS t)

P. Koskela, D. Herron, 1995 .

Gradient estimates for heat kernels and harmonic functions

Adam S. Sikora, P. Koskela, A. Sikora, 2017, Journal of Functional Analysis.

DEFINITIONS OF SOBOLEV CLASSES ON METRIC SPACES

P. Koskela, B. Franchi, P. Hajłasz, 1999 .

Boman equals

P. Koskela, G. Lu, S. Buckley, 2022 .

Sobolev-Poincaré inequalities for p < 1

P. Koskela, S. Buckley, 1994 .

A characterization of Hajłasz–Sobolev and Triebel–Lizorkin spaces via grand Littlewood–Paley functions☆

P. Koskela, Dachun Yang, Yuan Zhou, 2009, 0909.2072.

Lipschitz continuity of Cheeger-harmonic functions in metric measure spaces☆

P. Koskela, N. Shanmugalingam, Kai Rajala, 2003 .

H p -theory for Quasiconformal Mappings

P. Koskela, K. Astala, 2011 .

RECURSIVE SET CONSTRUCTIONS AND ITERATED FUNCTION SYSTEMS: SEPARATION CONDITIONS AND DIMENSION

C. Bandt, P. Mattila, T. Rajala, 2010 .

Sobolev classes of Banach space-valued functions and quasiconformal mappings

J. Heinonen, P. Koskela, N. Shanmugalingam, 2001 .

Absolute Continuity of Quasiconformal Mappings on Curves

P. Koskela, Z. Balogh, S. Rogovin, 2007 .

Geometry and Analysis of Dirichlet forms

P. Koskela, Yuan Zhou, 2012, 1208.4955.

Characterizations of generalized John domains in $\mathbb{R}^n$ via metric duality

P. Koskela, P. Goldstein, Debanjan Nandi, 2017, 1710.02050.

On Limits at Infinity of Weighted Sobolev Functions

Pekka Koskela, Sylvester Eriksson-Bique, Khanh Nguyen, 2022, Journal of Functional Analysis.

$L^∞$-variational problem associated to Dirichlet forms

P. Koskela, N. Shanmugalingam, Yuan Zhou, 2012 .

Quasiconformal mappings and Sobolev spaces

P. Koskela, Paul Macmanus, 1998 .

From local to global in quasiconformal structures.

J. Heinonen, P. Koskela, J Heinonen, 1996, Proceedings of the National Academy of Sciences of the United States of America.

Mappings of finite distortion: Reverse inequalities for the Jacobian

P. Koskela, S. Hencl, X. Zhong, 2007 .

Gradient estimates for heat kernels and harmonic functions

Adam S. Sikora, P. Koskela, Renjin Jiang, 2017, Journal of Functional Analysis.

Traces of weighted function spaces: Dyadic norms and Whitney extensions

P. Koskela, Tom'as Soto, Zhuang Wang, 2017, Science China Mathematics.

Lebesgue points via the Poincaré inequality

P. Koskela, Nijjwal Karak, 2014, Science China Mathematics.

Capacities and Hausdorff measures on metric spaces

P. Koskela, Nijjwal Karak, 2014, Revista Matemática Complutense.

Mappings of Finite Distortion: Decay of the Jacobian

P. Koskela, Kai Rajala, Jani Onninen, 2011, Journal of Geometric Analysis.

Regularity of the inverse of a Sobolev homeomorphism in space

P. Koskela, J. Malý, S. Hencl, 2006, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Suucient Conditions for Change of Variables in Integral

P. Koskela, Yu. G. Reshetnyak, J. Kauhanen, 2000 .

F Ur Mathematik in Den Naturwissenschaften Leipzig Deenitions of Sobolev Classes on Metric Spaces Deenitions of Sobolev Classes on Metric Spaces

P. Koskela, B. Franchi, Piotr Haj, 2022 .

Exceptional Sets for Quasiconformal Mappings in General Metric Spaces

P. Koskela, K. Wildrick, 2008 .

Lattice property of p -admissible weights

T. Kilpeläinen, P. Koskela, H. Masaoka, 2015 .

A non-doubling Trudinger inequality

P. Koskela, Amiran Gogatishvili, 2005 .

Dimension gap under Sobolev mappings

P. Koskela, A. Zapadinskaya, 2015 .

Luzin's condition (N) and modulus of continuity

P. Koskela, J. Malý, T. Zürcher, 2013, 1309.3094.

Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients

J. Heinonen, P. Koskela, N. Shanmugalingam, 2015 .

Existence and uniqueness of limits at infinity for homogeneous Sobolev functions

P. Koskela, K. Nguyen, 2022, Journal of Functional Analysis.

Pointwise Inequalities for Sobolev Functions on Outward Cuspidal Domains

P. Koskela, J. Malý, S. Eriksson-Bique, 2019, 1912.04555.

Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees

P. Koskela, Zhuang Wang, 2019, Potential Analysis.

Nonexistence of quasiconformal maps between certain metric measure spaces

P. Koskela, E. Donne, Katrin Fassler, 2013, 1312.1305.

Isoperimetric inequality from the poisson equation via curvature

P. Koskela, Renjin Jiang, 2012 .

Dirichlet Forms, Poincaré Inequalities, and the Sobolev Spaces of Korevaar and Schoen

P. Koskela, N. Shanmugalingam, J. Tyson, 2004 .

Measure density and extendability of Sobolev functions

P. Koskela, Heli Tuominen, P. Hajłasz, 2008 .

C A ] 1 1 Se p 20 09 A Characterization of Haj lasz-Sobolev and Triebel-Lizorkin Spaces via Grand Littlewood-Paley Functions

P. Koskela, Dachun Yang, Yuan Zhou, 2009 .

Constrained Application Protocol Profile for Robust Header Compression Framework

Mikko Majanen, Mikko Valta, Pekka Koskela, 2015 .

Packet header compression for the internet of things

Mikko Majanen, Pekka Koskela, Mikko Valta, 2016 .

Morrey–Sobolev Extension Domains

P. Koskela, Y. Zhang, Yuan Zhou, 2017 .

Morrey–Sobolev Extension Domains

P. Koskela, Y. Zhang, Yuan Zhou, 2016, The Journal of Geometric Analysis.

HAJ LASZ–SOBOLEV EXTENSION AND IMBEDDING

T. Rajala, P. Koskela, Juha Lehrbäck, 2010 .

SOBOLEV-POINCARÉ IMPLIES

P. Koskela, S. Buckley, 2004 .

Sobolev-Poincaré implies John

Pekka Koskela, Stephen M. Buckley, P. Koskela, 1995 .

Mappings of finite distortion: discreteness and openness for quasi-light mappings

P. Koskela, S. Hencl, 2005 .

HARMONIC HARDY-ORLICZ SPACES

T. Kilpeläinen, P. Koskela, H. Masaoka, 2013 .