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  • Peter Sjögren (a1) and Tomasz Z. Szarek (a2) (a3)

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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The second author was partially supported by the National Science Centre of Poland, project no. 2015/19/D/ST1/01178, and by the Foundation for Polish Science START Scholarship.

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  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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