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
Author
Peter Sjögren
Chalmers, Mathematical Sciences
Tomasz Z. Szarek
University of Warsaw
Polish Academy of Sciences
Mathematika
0025-5793 (ISSN) 20417942 (eISSN)
Vol. 65 2 190-212Roots
Basic sciences
Subject Categories
Mathematical Analysis
DOI
10.1112/S0025579318000372