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Gehring’s Lemma and Reverse Hölder Classes on Metric Measure Spaces

Gehring’s Lemma and Reverse Hölder Classes on Metric Measure Spaces This work extends some Euclidean results on the structure of the reverse Hölder classes to metric measure spaces with a doubling measure satisfying an annular decay condition. We also give an alternative proof of the celebrated Gehring’s lemma. Muckenhoupt weights are used extensively throughout the work. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Gehring’s Lemma and Reverse Hölder Classes on Metric Measure Spaces

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-014-0071-1
Publisher site
See Article on Publisher Site

Abstract

This work extends some Euclidean results on the structure of the reverse Hölder classes to metric measure spaces with a doubling measure satisfying an annular decay condition. We also give an alternative proof of the celebrated Gehring’s lemma. Muckenhoupt weights are used extensively throughout the work.

Journal

Computational Methods and Function Theory – Springer Journals

Published: May 27, 2014

References

  • Is the maximal function of a Lipschitz function continuous?
    Buckley, SM
  • A $$T(b)$$ T ( b ) theorem with remarks on analytic capacity and the Cauchy integral
    Christ, M
  • The structure of the Reverse Hölder classes
    Cruz-Uribe, D; Neugebauer, CJ
  • The $$L^p$$ L p - integrability of the partial derivatives of a quasiconformal mapping
    Gehring, FW