Some New Thoughts on Maximal Functions and Poisson Integrals
Analysis of PDEs
2010-10-08 v1
Abstract
We study Wiener-type covering lemmas, Hardy-Littlewood-type maximal functions, and convergence theorems on metric spacs. Later we specialize down to a result for the Poisson integral. We show that, in a suitably general setting, these three phenomena are essentially logically equivalent. Along the way we discuss some useful estimates for the Poisson kernel.
Cite
@article{arxiv.1010.1270,
title = {Some New Thoughts on Maximal Functions and Poisson Integrals},
author = {Steven G. Krantz},
journal= {arXiv preprint arXiv:1010.1270},
year = {2010}
}
Comments
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