A Survey on Some Anisotropic Hardy-Type Function Spaces

Year:    2020

Author:    Jun Liu, Dorothee D. Haroske, Dachun Yang

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 4 : pp. 373–456

Abstract

Let $A$ be a general expansive matrix on $\mathbb{R}^n$. The aims of this article are twofold. The first one is to give a survey on the recent developments of anisotropic Hardy-type function spaces on $\mathbb{R}^n$, including anisotropic Hardy–Lorentz spaces, anisotropic variable Hardy spaces and anisotropic variable Hardy–Lorentz spaces as well as anisotropic Musielak–Orlicz Hardy spaces. The second one is to correct some errors and seal some gaps existing in the known articles. Some unsolved problems are also presented.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-SU10

Analysis in Theory and Applications, Vol. 36 (2020), Iss. 4 : pp. 373–456

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    84

Keywords:    Expansive matrix (variable) Hardy space (variable) Hardy–Lorentz space Musielak–Orlicz Hardy space.

Author Details

Jun Liu

Dorothee D. Haroske

Dachun Yang

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