Mixed means for centered and uncentered averaging operators over spheres and related results

I. Peric

doi:10.15352/bjma/1240336301

Translator Disclaimer

2008 Mixed means for centered and uncentered averaging operators over spheres and related results

I. Peric

Banach J. Math. Anal. 2(2): 150-162 (2008). DOI: 10.15352/bjma/1240336301

Abstract

Mixed-mean inequalities for integral power means over centered and uncentered spheres are proved. Therefrom we deduce the Hardy type inequalities for corresponding averaging operators. Moreover, we discuss estimates related to the spherical maximal functions.

Citation

Download Citation

I. Peric. "Mixed means for centered and uncentered averaging operators over spheres and related results." Banach J. Math. Anal. 2 (2) 150 - 162, 2008. https://doi.org/10.15352/bjma/1240336301

Information

Published: 2008

First available in Project Euclid: 21 April 2009

zbMATH: 1157.26009

MathSciNet: MR2436875

Digital Object Identifier: 10.15352/bjma/1240336301

Subjects:

Primary: 26D10

Secondary: 26D15

Keywords: Carleman's inequality, centered and uncentered spheres, Hardy's inequality, integral power means, lower bounds for operator norms, mixed means, polar coordinates, power weights, spherical maximal functions