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arXiv · 1803.06195

Analysis in the multi-dimensional ball

Peter Sjögren·Tomasz Z. Szarek
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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 $L^p$ estimates, as well as some weighted inequalities in mixed norm spaces, for this maximal operator.

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Peter Sjögren, Tomasz Z. Szarek. 2018-03-16. Analysis in the multi-dimensional ball. https://doi.org/10.1112/s0025579318000372

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