The dual spaces of variable anisotropic Hardy-Lorentz spaces and continuity of a class of linear operators

Authors: WENHUA WANG, AITING WANG

Abstract: In this paper, the authors obtain the continuity of a class of linear operators on variable anisotropic Hardy--Lorentz spaces. In addition, the authors also obtain that the dual space of variable anisotropic Hardy-Lorentz spaces is the anisotropic BMO-type spaces with variable exponents. This result is still new even when the exponent function $p(\cdot)$ is $p$.

Keywords: Anisotropy, Hardy-Lorentz space, atom, Calderon-Zygmund operator, BMO space

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