Some characterizations of local bmo and h1 on metric measure spaces

[1]  Luigi Ambrosio,et al.  Lectures on analysis in metric spaces , 2013 .

[2]  Longzhi Lin,et al.  Estimates for the energy density of critical points of a class of conformally invariant variational problems , 2012, 1202.5758.

[3]  D. Aalto,et al.  The discrete maximal operator in metric spaces , 2010 .

[4]  D. Aalto,et al.  John–Nirenberg lemmas for a doubling measure , 2009, 0910.1228.

[5]  G. Dafni,et al.  A div-curl decomposition for the local Hardy space , 2009 .

[6]  Anatolii A. Korenovskii,et al.  Mean Oscillations and Equimeasurable Rearrangements of Functions , 2007 .

[7]  Der-Chen Chang,et al.  FUNCTIONS OF BOUNDED MEAN OSCILLATION , 2006 .

[8]  G. Dafni.  Nonhomogeneous div-curl lemmas and local Hardy spaces , 2005, Advances in Differential Equations.

[9]  C. Pérez,et al.  Trudinger inequalities without derivatives , 2002 .

[10]  Manfred Kronz.  Some function spaces on spaces of homogeneous type , 2001 .

[11]  P. Mattila,et al.  BMO for nondoubling measures , 2000 .

[12]  S. Buckley.  Inequalities of John—Nirenberg type in doubling spaces , 1999 .

[13]  J. Heinonen,et al.  Quasiconformal maps in metric spaces with controlled geometry , 1998 .

[14]  Piotr Hajłasz,et al.  @ 1996 Kluwer Academic Publishers. Printed in the Netherlands. Sobolev Spaces on an Arbitrary Metric Space , 1994 .

[15]  D. Cruz-Uribe,et al.  The structure of the reverse Hölder classes , 1995 .

[16]  Timothy S. Murphy,et al.  Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals , 1993 .

[17]  C. Bennett.  Another Characterization of BLO , 1982 .

[18]  R. DeVore,et al.  Weak-L ∞ and BMO , 1981 .

[19]  R. Macías,et al.  A Decomposition Into Atoms Of Distributions On Spaces Of Homogeneous Type , 1979 .

[20]  David Goldberg.  A local version of real Hardy spaces , 1979 .

[21]  G. Weiss,et al.  Extensions of Hardy spaces and their use in analysis , 1977 .

[22]  E. Stein,et al.  Hp spaces of several variables , 1972 .

[23]  Charles Fefferman,et al.  Characterizations of bounded mean oscillation , 1971 .

[24]  Longzhi Lin.  On the existence of closed geodesics and uniqueness of weakly harmonic maps , 2011 .

[25]  Michael Taylor.  Hardy Spaces and bmo on Manifolds with Bounded Geometry , 2009 .

[26]  Pekka Koskela,et al.  Sobolev met Poincaré , 2000 .

[27]  E. Stein,et al.  Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in ^{} , 1999 .

[28]  Jeff Cheeger,et al.  Differentiability of Lipschitz Functions on Metric Measure Spaces , 1999 .

[29]  C. Pérez,et al.  Generalized Poincare inequalities: sharp self-improving properties , 1998 .

[30]  G. Dafni.  Hardy spaces on strongly pseudoconvex domains in C〓n〓 and domains of finite type in C〓2〓 , 1993 .

[31]  U. Neri.  Some properties of functions with bounded mean oscillation , 1977 .