Anisotropic Local Hardy Spaces |
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| Authors: | Jorge J. Betancor Wendolín Damián |
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| Affiliation: | 1. 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
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| Abstract: | In this paper we introduce and study the anisotropic local Hardy spaces hAp(mathbbRn)h_{A}^{p}(mathbb{R}^{n}) 0<p≤1, associated with the expansive matrix A. We obtain an atomic characterization of the distributions in hAp(mathbbRn)h_{A}^{p}(mathbb{R}^{n}). Also we describe the dual spaces of our local Hardy anisotropic spaces as anisotropic Campanato type spaces. |
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