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

Abstract

In this paper, the author obtain the continuity of a class of linear operators on variable anisotropic Hardy-Lorentz spaces. In addition, the author 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 $p$.

arXiv comment19 pages, this is a final version. arXiv admin note: text overlap with arXiv:2112.10956. text overlap with arXiv:2011.09666