Anisotropic Hardy-Lorentz Spaces with Variable Exponents
Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1219-1273
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In this paper we introduce Hardy-Lorentz spaces with variable exponents associated withdilations in ${{\mathbb{R}}^{n}}$ . We establish maximal characterizations and atomic decompositions for our variableexponent anisotropic Hardy-Lorentz spaces.
Mots-clés :
42B30, 42B25, 42B35, variable exponent Hardy space, Hardy-Lorentz space, anisotropic Hardy space, maximal function, atomic decomposition
Almeida, Víctor; Betancor, Jorge J.; Rodríguez-Mesa, Lourdes. Anisotropic Hardy-Lorentz Spaces with Variable Exponents. Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1219-1273. doi: 10.4153/CJM-2016-053-6
@article{10_4153_CJM_2016_053_6,
author = {Almeida, V{\'\i}ctor and Betancor, Jorge J. and Rodr{\'\i}guez-Mesa, Lourdes},
title = {Anisotropic {Hardy-Lorentz} {Spaces} with {Variable} {Exponents}},
journal = {Canadian journal of mathematics},
pages = {1219--1273},
year = {2017},
volume = {69},
number = {6},
doi = {10.4153/CJM-2016-053-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-053-6/}
}
TY - JOUR AU - Almeida, Víctor AU - Betancor, Jorge J. AU - Rodríguez-Mesa, Lourdes TI - Anisotropic Hardy-Lorentz Spaces with Variable Exponents JO - Canadian journal of mathematics PY - 2017 SP - 1219 EP - 1273 VL - 69 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-053-6/ DO - 10.4153/CJM-2016-053-6 ID - 10_4153_CJM_2016_053_6 ER -
%0 Journal Article %A Almeida, Víctor %A Betancor, Jorge J. %A Rodríguez-Mesa, Lourdes %T Anisotropic Hardy-Lorentz Spaces with Variable Exponents %J Canadian journal of mathematics %D 2017 %P 1219-1273 %V 69 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-053-6/ %R 10.4153/CJM-2016-053-6 %F 10_4153_CJM_2016_053_6
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