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Anisotropic Hardy-Lorentz Spaces with Variable Exponents

Published online by Cambridge University Press:  20 November 2018

Víctor Almeida ,
Jorge J. Betancor  and
Lourdes Rodríguez-Mesa
Víctor Almeida
Affiliation:
Departamento de Análisis Matemático, Universidad de la Laguna,Campus de Anchieta, Avda., Astrofísico Francisco Sánchez, s/n, 38271, La Laguna (Sta. Cruz de Tenerife, Spain e-mail: valmeida@ull.es, jbetanco@ull.es, lrguez@ull.es
Jorge J. Betancor
Affiliation:
Departamento de Análisis Matemático, Universidad de la Laguna,Campus de Anchieta, Avda., Astrofísico Francisco Sánchez, s/n, 38271, La Laguna (Sta. Cruz de Tenerife, Spain e-mail: valmeida@ull.es, jbetanco@ull.es, lrguez@ull.es
Lourdes Rodríguez-Mesa
Affiliation:
Departamento de Análisis Matemático, Universidad de la Laguna,Campus de Anchieta, Avda., Astrofísico Francisco Sánchez, s/n, 38271, La Laguna (Sta. Cruz de Tenerife, Spain e-mail: valmeida@ull.es, jbetanco@ull.es, lrguez@ull.es
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Abstract

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In this paper we introduce Hardy-Lorentz spaces with variable exponents associated with dilations in ${{\mathbb{R}}^{n}}$. We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz spaces.

Keywords

42B3042B2542B35variable exponent Hardy spaceHardy-Lorentz spaceanisotropic Hardy spacemaximal functionatomic decomposition
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 69 , Issue 6 , 01 December 2017 , pp. 1219 - 1273
Copyright
Copyright © Canadian Mathematical Society 2016

References

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