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.
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