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- W2963609035 abstract "Let p(⋅):Rn→(0,∞] be a variable exponent function satisfying the globally log-Hölder continuous condition, q∈(0,∞] and A be a general expansive matrix on Rn. In this article, the authors first introduce the anisotropic variable Hardy–Lorentz space HAp(⋅),q(Rn) associated with A, via the radial grand maximal function, and then establish its radial or non-tangential maximal function characterizations. Moreover, the authors also obtain characterizations of HAp(⋅),q(Rn), respectively, in terms of the atom and the Lusin area function. As an application, the authors prove that the anisotropic variable Hardy–Lorentz space HAp(⋅),q(Rn) serves as the intermediate space between the anisotropic variable Hardy space HAp(⋅)(Rn) and the space L∞(Rn) via the real interpolation. This, together with a special case of the real interpolation theorem of H. Kempka and J. Vybíral on the variable Lorentz space, further implies the coincidence between HAp(⋅),q(Rn) and the variable Lorentz space Lp(⋅),q(Rn) when essinfx∈Rnp(x)∈(1,∞)." @default.
- W2963609035 created "2019-07-30" @default.
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- W2963609035 date "2017-12-01" @default.
- W2963609035 modified "2023-10-18" @default.
- W2963609035 title "Anisotropic variable Hardy–Lorentz spaces and their real interpolation" @default.
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- W2963609035 doi "https://doi.org/10.1016/j.jmaa.2017.07.003" @default.
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