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Anisotropic Hardy-Lorentz Spaces with Variable Exponents

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Abstract 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… Click to show full abstract

Abstract 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: spaces variable; lorentz spaces; hardy lorentz; anisotropic hardy; variable exponents

Journal Title: Canadian Journal of Mathematics
Year Published: 2017

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