Analysis in the multi-dimensional ball
Classical Analysis and ODEs
2019-02-20 v1
Abstract
We study the heat semigroup maximal operator associated with a well-known orthonormal system in the d-dimensional ball. The corresponding heat kernel is shown to satisfy Gaussian bounds. As a consequence, we can prove weighted estimates, as well as some weighted inequalities in mixed norm spaces, for this maximal operator.
Cite
@article{arxiv.1803.06195,
title = {Analysis in the multi-dimensional ball},
author = {Peter Sjögren and Tomasz Z. Szarek},
journal= {arXiv preprint arXiv:1803.06195},
year = {2019}
}
Comments
18 pages