Centered Hardy-Littlewood maximal function on hyperbolic spaces, $p>1$

Abstract

In this paper, we prove $L^p$ ($p>1$) dimension free bounds for the centered Hardy-Littlewood maximal function on real or complex hyperbolic spaces.

arXiv commentThe major revisions are made in Appendix, a few corrections and more explanations are carried out through the whole article

References in corpus (1)

• Fonctions maximales centrées de Hardy-Littlewood pour les opérateurs de Grushin

Cited by in corpus (1)

• Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces