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Turkish Journal of Mathematics

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 $p$.

DOI

10.55730/1300-0098.3281

Keywords

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

First Page

2466

Last Page

2484

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