Analysis in the multi-dimensional ball
Journal article, 2019

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.

Gaussian bound

Dirichlet form

mixed norm space

maximal operator

Poincar\'e inequality

weighted inequality


Peter Sjögren

Chalmers, Mathematical Sciences

Tomasz Z. Szarek

University of Warsaw

Polish Academy of Sciences


0025-5793 (ISSN) 20417942 (eISSN)

Vol. 65 2 190-212


Basic sciences

Subject Categories

Mathematical Analysis



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