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

IF 1.1 2区数学 Q1 MATHEMATICS Banach Journal of Mathematical Analysis Pub Date : 2024-02-22 DOI:10.1007/s43037-023-00321-x

Yoshihiro Sawano, Dachun Yang, Wen Yuan

引用次数: 0

Abstract

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.

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Triebel-Lizorkin 型空间的非光滑原子分解

在这篇文章中，作者建立了 Triebel-Lizorkin 型空间的非光滑原子分解，作为副产品，得到了 BMO 空间子空间的非光滑原子分解。文章还介绍了这种分解方法在 Marcinkiewicz 积分算子有界性中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Banach Journal of Mathematical Analysis 数学-数学

CiteScore

2.00

自引率

8.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Banach Journal of Mathematical Analysis (Banach J. Math. Anal.) is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Banach J. Math. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and operator theory and all modern related topics. Banach J. Math. Anal. normally publishes survey articles and original research papers numbering 15 pages or more in the journal’s style. Shorter papers may be submitted to the Annals of Functional Analysis or Advances in Operator Theory.

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