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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

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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

Rights: Copyright © 2008 Tusi Mathematical Research Group

Vol.2 • No. 2 • 2008
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