P. Auscher

发表

Wavelets with boundary conditions on the interval

P. Auscher, 1993 .

Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets

G. Weiss, M. Wickerhauser, R. Wells, 1993 .

Extrapolation of Carleson measures and the analyticity of Kato's square-root operators

John L. Lewis, Pascal Auscher, Philippe Tchamitchian, 2001 .

Remarks on the local Fourier bases

P. Auscher, 2021, Wavelets.

Compactly Supported Wavelets and Boundary Conditions

P. Auscher, P. Auscher, 1993 .

On necessary and sufficient conditions for $L^p$-estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates

P. Auscher, 2005, math/0506032.

The square root problem for second-order, divergence form operators with mixed boundary conditions on Lp

P. Auscher, J. Rehberg, R. Haller-Dintelmann, 2012, 1210.0780.

The Dirichlet problem for second order parabolic operators in divergence form

P. Auscher, K. Nystrom, Moritz Egert, 2016, 1611.00944.

Regularity Theorems and Heat Kernel for Elliptic Operators

P. Auscher, 1996 .

Observations on $W^{1,p}$ estimates for divergence elliptic equations with VMO coefficients

P. Auscher, P. Auscher, M. Qafsaoui, 2002 .

Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights

P. Auscher, J. M. Martell, 2006, math/0603640.

THE KATO SQUARE ROOT PROBLEM ON AN ARBITRARY DOMAIN OF R d

R. Coifman, P. Tchamitchian, A., 2020 .

Riesz transform on manifolds and heat kernel regularity

P. Auscher, S. Hofmann, X. Duong, 2004, math/0411374.

Quadratic estimates for degenerate elliptic systems on manifolds with lower Ricci curvature bounds and boundary value problems

Andrew J. Morris, P. Auscher, Andreas Ros'en, 2022, 2209.11529.

Gaussian lower bounds for random walks from elliptic regularity

P. Auscher, T. Coulhon, 1999 .

On well-posedness of parabolic equations of Navier-Stokes type with BMO^{-1}(\R^n) data

P. Auscher, D. Frey, 2014, 1412.8407.

Corrigendum to Maximal regularity and Hardy spaces

P. Auscher, F. Bernicot, Jiman Zhao, 2010 .

Erratum to: Corrigendum to Maximal regularity and Hardy spaces

P. Auscher, F. Bernicot, Jiman Zhao, 2009 .

Addendum to "Maximal regularity and Hardy spaces"

P. Auscher, F. Bernicot, Jiman Zhao, 2008, 0810.5031.

Part II : Off-diagonal estimates on spaces of homogeneous type

P. Auscher, J. M. Martell, 2017 .

Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part III: Harmonic analysis of elliptic operators

P. Auscher, J. M. Martell, 2006, math/0603642.

Weighted norm inequalities, off-diagonal estimates and elliptic operators Part II: Off-diagonal estimates on spaces of homogeneous type

P. Auscher, J. M. Martell, 2006, math/0603641.

Riesz transform on manifolds and Poincaré inequalitie

P. Auscher, T. Coulhon, 2005, math/0504221.

ON L ESTIMATES FOR SQUARE ROOTS OF SECOND ORDER ELLIPTIC OPERATORS ON R

P. Auscher, 2004 .

On Lp estimates for square roots of second order elliptic operators on Rn.

P. Auscher, 2004 .

On non-autonomous maximal regularity for elliptic operators in divergence form

P. Auscher, Moritz Egert, 2016, Archiv der Mathematik.

A P ] 3 0 N ov 2 02 2 PARABOLIC SYSTEMS REVISITED

P. Auscher, Moritz Egert, 2022 .

Tent space boundedness via extrapolation

P. Auscher, Cruz Prisuelos-Arribas, 2016, Mathematische Zeitschrift.

The square root problem for second-order, divergence form operators with mixed boundary conditions on Lp

P. Auscher, J. Rehberg, R. Haller-Dintelmann, 2014, Journal of Evolution Equations.

Weighted norm inequalities for fractional operators)

P. Auscher, J. M. Martell, 2007, math/0703732.

Carleson measures, trees, extrapolation, and T(b) theorems

T. Tao, P. Auscher, C. Thiele, 2001, math/0108138.

Non-local Gehring Lemmas in Spaces of Homogeneous Type and Applications

P. Auscher, Moritz Egert, Olli Saari, 2019, The Journal of Geometric Analysis.

Paradifferential operators and commutator estimates

P. Auscher, Michael Taylor, 1995 .

Solvability of elliptic systems with square integrable boundary data

P. Auscher, A. Mcintosh, A. Axelsson, 2008, 0809.4968.

L$^2$ well-posedness of boundary value problems for parabolic systems with measurable coefficients

P. Auscher, K. Nystrom, Moritz Egert, 2016, Journal of the European Mathematical Society.

Tent space boundedness via extrapolation

P. Auscher, Cruz Prisuelos-Arribas, 2016, 1603.01230.

On non-autonomous maximal regularity for elliptic operators in divergence form

Pascal Auscher, Moritz Egert, P. Auscher, 2016, 1602.08306.

Real Harmonic Analysis

P. Auscher, L. Bandara, 2012 .

Vertical versus conical square functions

P. Auscher, S. Hofmann, J. M. Martell, 2010, 1012.4184.

Change of angle in tent spaces

P. Auscher, 2011, 1101.3967.

Analyticity of layer potentials and $L^{2}$ solvability of boundary value problems for divergence form elliptic equations with complex $L^{\infty}$ coefficients

P. Auscher, S. Hofmann, A. Axelsson, 2007, 0705.0836.

Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I

P. Auscher, A. Axelsson, 2009, 0911.4344.

Sobolev spaces on multiple cones

Pascal Auscher, P. Auscher, Nadine Badr, 2008, 0812.1146.

Maximal inequalities and Riesz transform estimates on $L^p$ spaces for Schr\

P. Auscher, B. Ali, 2006, math/0605047.

Riesz transform on manifols and Poincaré inequalities

P. Auscher, T. Coulhon, 2005 .

Square roots of elliptic second order divergence operators on strongly lipschitz domains:L2 theory

P. Tchamitchian, P. Auscher, P. Auscher, 2003 .

Hardy spaces and divergence operators on strongly Lipschitz domains of Rn

P. Auscher, E. Russ, 2002, math/0201301.

The solution of the Kato square root problem for second order elliptic operators on Rn

Pascal Auscher, Michael T. Lacey, Philippe Tchamitchian, 2002 .

Square root problem for divergence operators and related topics

P. Tchamitchian, P. Auscher, 2018, Astérisque.

Local Tb Theorems and Hardy Inequalities

P. Auscher, Eddy Routin, 2010, 1011.1747.

BCR algorithm and the T(b) Theorem

P. Auscher, Q. Yang, 2007, math/0702282.

Weighted norm inequalities, off-diagonal estimates and elliptic operators

P. Auscher, J. M. Martell, 2008, 0810.3073.

Hardy Spaces of Differential Forms on Riemannian Manifolds

P. Auscher, A. Mcintosh, E. Russ, 2006, math/0611334.

Representation and uniqueness for boundary value elliptic problems via first order systems

P. Auscher, Mihalis Mourgoglou, 2014, Revista Matemática Iberoamericana.

Elliptic Boundary Value Problems With Fractional Regularity Data: The First Order Approach

P. Auscher, Alex Amenta, 2016, 1607.03852.

Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

P. Auscher, Moritz Egert, 2020, Progress in Mathematics.

Nonlocal self-improving properties: a functional analytic approach

P. Auscher, Moritz Egert, Olli Saari, 2017, Tunisian Journal of Mathematics.

On regularity of weak solutions to linear parabolic systems with measurable coefficients

P. Auscher, Moritz Egert, Olli Saari, 2017, Journal de Mathématiques Pures et Appliquées.

On regularity of weak solutions to parabolic systems

P. Auscher, Moritz Egert, Olli Saari, 2017 .

Mixed boundary value problems on cylindrical domains

P. Auscher, Moritz Egert, 2015, Advances in Differential Equations.

Square root of divergence operators, square functions, and singular integrals

P. Tchamitchian, P. Auscher, 1996 .

Hardy Spaces for Boundary Value Problems of Elliptic Systems with Block Structure

P. Auscher, Moritz Egert, 2020, The Journal of Geometric Analysis.

Maximal regularity and hardy spaces

P. Auscher, F. Bernicot, Jiman Zhao, 2007, 0710.2961.

Hardy Sobolev spaces on strongly Lipschitz domains of Rn

P. Tchamitchian, P. Auscher, E. Russ, 2005 .

Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems

P. Auscher, S. Hofmann, A. Axelsson, 2007, 0705.0250.

Boundary value problems for degenerate elliptic equations and systems

P. Auscher, Andreas Ros'en, David J. Rule, 2013, 1307.5056.

The regularity problem for degenerate elliptic operators in weighted spaces

Pascal Auscher, Li Chen, Jos'e Mar'ia Martell, 2021, Revista Matemática Iberoamericana.

Heat Kernels of Second Order Complex Elliptic Operators and Applications

P. Tchamitchian, P. Auscher, A. Mcintosh, 1998 .

Local Tb Theorems and Hardy Inequalities

P. Auscher, Eddy Routin, 2011, Journal of Geometric Analysis.

On a quadratic estimate related to the Kato conjecture and boundary value problems

Andreas Axelsson, Pascal Auscher, Alan McIntosh, 2008, 0810.3071.

Lectures on the Kato square root problem

P. Auscher, 2001, math/0108029.

A ug 2 00 1 Lectures on the Kato square root problem

P. Auscher, 2001 .

The square root problem of Kato in one dimension, and first order elliptic systems

P. Auscher, A. Mcintosh, A. Nahmod, 1997 .

Solution of two problems on wavelets

P. Auscher, 1995 .

Orthonormal bases of regular wavelets in spaces of homogeneous type

P. Auscher, T. Hytonen, 2011, 1110.5766.

Orthonormal bases of regular wavelets in spaces of homogeneous type

P. Auscher, T. Hytonen, 2011, 1110.5766.

Square roots of elliptic second order divergence operators on strongly Lipschitz domains: $L^p$ theory

P. Tchamitchian, P. Auscher, 2001 .

The solution of Kato's conjectures

John L. Lewis, P. Tchamitchian, P. Auscher, 2001 .

Holomorphic functional calculi of operators, quadratic estimates and interpolation

P. Auscher, A. Mcintosh, A. Nahmod, 1997 .

The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $

Pascal Auscher, Philippe Tchamitchian, Steve Hofmann, 2001 .

Remarks on Functional Calculus for Perturbed First-order Dirac Operators

P. Auscher, Sebastian Stahlhut, 2013, 1303.5047.

The maximal regularity operator on tent spaces

P. Auscher, Pierre Portal, Sylvie Monniaux, 2010, 1011.1748.

A universal variational framework for parabolic equations and systems

P. Auscher, Moritz Egert, 2022, 2211.17000.

A priori estimates for boundary value elliptic problems via first order systems

P. Auscher, Sebastian Stahlhut, 2014, 1403.5367.

Calderon Reproducing Formulas and Applications to Hardy Spaces

Andrew J. Morris, P. Auscher, A. Mcintosh, 2013, 1304.0168.

On L2 Solvability of BVPs for Elliptic Systems

P. Auscher, A. Mcintosh, Mihalis Mourgoglou, 2013, Journal of Fourier Analysis and Applications.

On L2 Solvability of BVPs for Elliptic Systems

P. Auscher, A. Mcintosh, Mihalis Mourgoglou, 2012, 1212.3931.

The solution of Katos conjectures

P. Tchamitchian, P. Auscher, M. Lacey, 2001 .

Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems

P. Auscher, Mihalis Mourgoglou, 2013, 1306.4115.

Equivalence between Regularity Theorems and Heat Kernel Estimates for Higher Order Elliptic Operators and Systems under Divergence Form

P. Auscher, M. Qafsaoui, 2000 .

WEIGHTED NORM INEQUALITIES, OFF-DIAGONAL ESTIMATES

P. Auscher, J. Mar, Weights, 2008 .

On the use of tent spaces for solving PDEs: A proof of the Koch-Tataru theorem

P. Auscher, I. Vasilyev, 2021, 2109.04123.

On existence and uniqueness for non-autonomous parabolic Cauchy problems with rough coefficients

P. Auscher, Pierre Portal, Sylvie Monniaux, 2015, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE.

ON THE WELL-POSEDNESS OF PARABOLIC EQUATIONS OF NAVIER–STOKES TYPE WITH $\mathit{BMO}^{-1}$ DATA

P. Auscher, D. Frey, 2015, Journal of the Institute of Mathematics of Jussieu.

A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in $BMO^{-1}$

P. Auscher, D. Frey, 2013, 1310.3783.

Singular integral operators on tent spaces

P. Auscher, C. Kriegler, Pierre Portal, 2012, Journal of evolution equations (Printed ed.).

Singular integral operators on tent spaces

P. Auscher, C. Kriegler, Pierre Portal, 2011, 1112.4292.

Remarks on Maximal Regularity

P. Auscher, A. Axelsson, 2009, 0912.4482.

Conical stochastic maximal $$L^p$$Lp-regularity for $$1\leqslant p<\infty $$1⩽p<∞

P. Auscher, J. Neerven, Pierre Portal, 2014 .

Conical stochastic maximal $L^p$-regularity for $1 \leq p \lt \infty$

P. Auscher, J. Neerven, Pierre Portal, 2011, 1112.3196.

Conical stochastic maximal L p -regularity for 1 (cid:2) p < ∞

P. Auscher, 2014 .

On the stability of global solutions to Navier–Stokes equations in the space

P. Tchamitchian, P. Auscher, S. Dubois, 2004 .

Gaussian Estimates for Second Order Elliptic Divergence Operators on Lipschitz and C 1 Domains

P. Tchamitchian, P. Auscher, 2019, Evolution Equations and Their Applications in Physical and Life Sciences.

Functional calculus for first order systems of Dirac type and boundary value problems

P. Auscher, Sebastian Stahlhut, 2016 .

A universal variational framework for parabolic equations and systems

P. Auscher, Moritz Egert, 2022, Calculus of Variations and Partial Differential Equations.

The Dirichlet problem for second order parabolic operators in divergence form

P. Auscher, K. Nystrom, Moritz Egert, 2016, 1611.00944.

Stochastic and deterministic parabolic equations with bounded measurable coefficients in space and time: well-posedness and maximal regularity

P. Auscher, Pierre Portal, 2023, 2310.06460.

Guido Weiss: a few memories of a friend and an influential mathematician

P. Auscher, A. Bonami, 2023, 2306.16123.

Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

P. Auscher, Moritz Egert, 2020, Progress in Mathematics.

PROCEEDINGS OF THE INTERNET ANALYSIS SEMINAR ON: RIESZ TRANSFORMS ASSOCIATED TO SCHRÖDINGER OPERATORS

P. Auscher, M. Lacey, B. Wick, 2015 .

Weighted norm inequalities, off-diagonal estimates and elliptic operators

P. Auscher, J. M. Martell, 2008, 0810.3073.

Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part IV: Riesz transforms on manifolds and weights

P. Auscher, J. M. Martell, 2006, math/0603643.