morrey triiebel - lizorkin上奇异积分算子的交换子的刻画

IF 0.2 4区数学 Q4 MATHEMATICS

Mathematical Reports Pub Date : 2023-01-01 DOI:10.59277/mrar.2023.25.75.3.425

CHENGLONG FANG

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引用次数: 0

摘要

本文用两个算子族得到了Morrey triiebel - lizorkin空间的刻画。利用Morrey triiebel - lizorkin空间的刻画，证明了b是一个Lipschitz函数，当且仅当对位子[b, T]从Morrey空间有界到Morrey triiebel - lizorkin空间，其中T是奇异积分算子或Riesz势算子。

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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CHARACTERIZATIONS OF COMMUTATORS OF SINGULAR INTEGRAL OPERATORS ON MORREY TRIEBEL-LIZORKIN

In this paper, we obtain the characterizations of Morrey Triebel-Lizorkin spaces by two families of operators. Applying the characterizations of Morrey TriebelLizorkin spaces, it is proved that b is a Lipschitz function if and only if the commutator [b, T] is bounded from Morrey spaces to Morrey Triebel-Lizorkin spaces, where T is singular integral operator or Riesz potential operator.

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来源期刊

Mathematical Reports MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.