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Volume 37, Issue 3
Intrinsic Square Function Characterizations of Several Hardy-Type Spaces — A Survey

Xianjie Yan, Dachun Yang & Wen Yuan

DOI: 10.4208/ata.2021.lu80.09

Anal. Theory Appl., 37 (2021), pp. 426-464.

Published online: 2021-09

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this article, the authors give a survey about the recent developments of intrinsic square function characterizations and their applications on several Hardy-type spaces, including (weak) Musielak-Orlicz Hardy spaces, variable (weak) Hardy spaces, and Hardy spaces associated with ball quasi-Banach function spaces. The authors also present some open problems.

  • Keywords

Intrinsic square function, (weak) Musielak-Orlicz Hardy space, variable (weak) Hardy space, ball quasi-Banach function space, Campanato space.

  • AMS Subject Headings

42B25, 42B30, 42B35, 46E30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-37-426, author = {Yan , XianjieYang , Dachun and Yuan , Wen}, title = {Intrinsic Square Function Characterizations of Several Hardy-Type Spaces — A Survey}, journal = {Analysis in Theory and Applications}, year = {2021}, volume = {37}, number = {3}, pages = {426--464}, abstract = {

In this article, the authors give a survey about the recent developments of intrinsic square function characterizations and their applications on several Hardy-type spaces, including (weak) Musielak-Orlicz Hardy spaces, variable (weak) Hardy spaces, and Hardy spaces associated with ball quasi-Banach function spaces. The authors also present some open problems.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2021.lu80.09}, url = {http://global-sci.org/intro/article_detail/ata/19882.html} }
TY - JOUR T1 - Intrinsic Square Function Characterizations of Several Hardy-Type Spaces — A Survey AU - Yan , Xianjie AU - Yang , Dachun AU - Yuan , Wen JO - Analysis in Theory and Applications VL - 3 SP - 426 EP - 464 PY - 2021 DA - 2021/09 SN - 37 DO - http://doi.org/10.4208/ata.2021.lu80.09 UR - https://global-sci.org/intro/article_detail/ata/19882.html KW - Intrinsic square function, (weak) Musielak-Orlicz Hardy space, variable (weak) Hardy space, ball quasi-Banach function space, Campanato space. AB -

In this article, the authors give a survey about the recent developments of intrinsic square function characterizations and their applications on several Hardy-type spaces, including (weak) Musielak-Orlicz Hardy spaces, variable (weak) Hardy spaces, and Hardy spaces associated with ball quasi-Banach function spaces. The authors also present some open problems.

Yan , XianjieYang , Dachun and Yuan , Wen. (2021). Intrinsic Square Function Characterizations of Several Hardy-Type Spaces — A Survey. Analysis in Theory and Applications. 37 (3). 426-464. doi:10.4208/ata.2021.lu80.09
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