Abstract
In this paper we introduce and study the anisotropic local Hardy spaces \(h_{A}^{p}(\mathbb{R}^{n})\) 0<p≤1, associated with the expansive matrix A. We obtain an atomic characterization of the distributions in \(h_{A}^{p}(\mathbb{R}^{n})\). Also we describe the dual spaces of our local Hardy anisotropic spaces as anisotropic Campanato type spaces.
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Communicated by Hans G. Feichtinger.
This paper is partially supported by MTM2007/65609.
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Betancor, J.J., Damián, W. Anisotropic Local Hardy Spaces. J Fourier Anal Appl 16, 658–675 (2010). https://doi.org/10.1007/s00041-010-9121-x
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DOI: https://doi.org/10.1007/s00041-010-9121-x