The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents

Abstract

In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions. Using the molecular decompositions, the authors obtain the boundedness of the central δ-Calderón-Zygmund operators on the anisotropic Herz-type Hardy space with two variable exponents.

Keywords

• anisotropic herz-type hardy space
• two variable exponents
• molecular decomposition
• central δ-calderón-zygmund operator
• boundedness
• primary: 42b30
• secondary: 42b35
• 46e30