Continuity of the maximal commutators in Sobolev spaces
- Resource Type
- Article
- Authors
- Xixi Jiang; Feng Liu
- Source
- 대한수학회지, 61(3), pp.461-494 May, 2024
- Subject
- 수학
- Language
- English
- ISSN
- 2234-3008
0304-9914
We prove the Sobolev continuity of maximal commutator and its fractional variant with Lipschitz symbols, both in the global and local cases. The main result in global case answers a question originally posed by Liu and Wang in \cite{LW}.