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

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arxiv 2203.06838 v2 pith:TODAVWE7 submitted 2022-03-14 math.FA math.CA

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keywords spacesanisotropicvariablehardy-lorentzauthorclasscontinuitydual
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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 $p$.

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