Continuity of Bilinear Fractional Maximal Commutators with Lipschitz Symbols in Sobolev Spaces

被引：0

作者：

Jiang, Xixi ^{[1
]}

Liu, Feng ^{[1
]}

Wen, Yongming ^{[2
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[2] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Peoples R China

来源：

FRONTIERS OF MATHEMATICS | 2025年

基金：

中国国家自然科学基金;

关键词：

Bilinear fractional maximal commutator; Lipschitz symbol; Sobolev space; continuity; REGULARITY; OPERATOR; COMPACTNESS; TRANSFORM;

D O I：

10.1007/s11464-024-0041-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the continuity of bilinear fractional maximal commutator with Lipschitz symbols in Sobolev spaces, both in the global and local cases. The main ingredients of proving the main results are some new pointwise estimates for the weak derivatives of the above commutators. The continuity result in global case answers a question originally motivated by Wang and Liu in [Math. Inequal. Appl., 2022, 25(2): 573-600].

引用

页数：46

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