Anisotropic Hardy-Lorentz Spaces with Variable Exponents

Almeida, Víctor ; Betancor, Jorge J. ; Rodríguez-Mesa, Lourdes

Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1219-1273

Résumé

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.

Détail

DOI : 10.4153/CJM-2016-053-6

Mots-clés : 42B30, 42B25, 42B35, variable exponent Hardy space, Hardy-Lorentz space, anisotropic Hardy space, maximal function, atomic decomposition

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