A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree

• Autorzy: Michael G. Cowling , Stefano Meda , Alberto G. Setti
• Języki publikacji: EN

Abstrakty

EN

We give a simple proof of a result of R. Rochberg and M. H. Taibleson that various maximal operators on a homogeneous tree, including the Hardy-Littlewood and spherical maximal operators, are of weak type (1,1). This result extends to corresponding maximal operators on a transitive group of isometries of the tree, and in particular for (nonabelian finitely generated) free groups.

Kategorie tematyczne

• 22E35: Analysis on p -adic Lie groups
• 20E08: Groups acting on trees
• 43A90: Spherical functions
• 43A85: Analysis on homogeneous spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 118
• Numer: 1
• Strony: 223-232

Daty

wydano

2010

Twórcy

autor

Michael G. Cowling

• School of Mathematics, University of Birmingham, Edgbaston Birmingham B15 2TT, UK

autor

Stefano Meda

• Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, via R. Cozzi 53, I-20125 Milano, Italy

autor

Alberto G. Setti

• Departimento di Matematica e Fisica, Università dell'Insubria, via Valleggio 11, I-22100 Como, Italy

Identyfikatory

DOI

10.4064/cm118-1-12