New York Journal of Mathematics
Volume 24 (2018) 1-19

  

Theresa C. Anderson and David E. Weirich

A dyadic Gehring inequality in spaces of homogeneous type and applications

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Published: January 1, 2018
Keywords: Reverse Hölder, Gehring inequaltiy, dyadic harmonic analysis
Subject: 42B35

Abstract
We state a version of Gehring's self improvement Theorem for reverse Hölder weights which is valid for dyadic cubes over spaces of homogeneous type and explore some of the consequences and applications.

Acknowledgements

The first author was supported by NSF DMS-1502464.


Author information

Theresa C. Anderson:
The University of Wisconsin-Madison, Madison, WI 53703
tcanderson@math.wisc.edu

David E. Weirich:
1 University of New Mexico, Albuquerque, NM 87131
dweirich@unm.edu