Non-smooth atomic decomposition of Triebel–Lizorkin-type spaces

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发表日期：

2024年2月22日

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Yoshihiro Sawano,
Dachun Yang,
Wen Yuan

摘要

In this article, the authors establish a non-smooth atomic decomposition of Triebel–Lizorkin-type spaces and, as a by-product, a non-smooth atomic decomposition of subspaces of BMO spaces is obtained. An application of this decomposition method to the boundedness of Marcinkiewicz integral operators is also presented.