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January 1996 WEIGHTED INEQUALITIES FOR MAXIMAL OPERATORS VIA ATOMIC DECOMPOSITIONS OF TENT SPACES
Yves Rakotondratsimba
Author Affiliations +
SUT J. Math. 32(1): 91-99 (January 1996). DOI: 10.55937/sut/1262208514

Abstract

It is shown how the atomic decomposition of tent spaces can be used to get a characterization of the weight functions u,v for which the fractional maximal operators Ms sends the weighted Lebesgue spaces Lvp into Luq with 1<p<,0<q<.

Acknowldegment

I would like to thank Professors J.L. Torrea and R. Macias for encouraging me to write this paper, during my visit at the University Autonoma of Madrid. Also I would like to thank the referee for his helpful comments and suggestions.

Citation

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Yves Rakotondratsimba. "WEIGHTED INEQUALITIES FOR MAXIMAL OPERATORS VIA ATOMIC DECOMPOSITIONS OF TENT SPACES." SUT J. Math. 32 (1) 91 - 99, January 1996. https://doi.org/10.55937/sut/1262208514

Information

Received: 11 March 1996; Published: January 1996
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1262208514

Subjects:
Primary: 42B25

Keywords: maximal operators , tent spaces , weighted inequalities

Rights: Copyright © 1996 Tokyo University of Science

Vol.32 • No. 1 • January 1996
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