Analysis in the multi-dimensional ball
Artikel i vetenskaplig tidskrift, 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
Författare
Peter Sjögren
Chalmers, Matematiska vetenskaper
Tomasz Z. Szarek
Uniwersytet Warszawski
Polish Academy of Sciences
Mathematika
0025-5793 (ISSN) 20417942 (eISSN)
Vol. 65 2 190-212Fundament
Grundläggande vetenskaper
Ämneskategorier
Matematisk analys
DOI
10.1112/S0025579318000372