Necessary and sufficient conditions for boundedness of commutators of multi-sublinear maximal functions

Key Points

• Boundedness conditions for commutators associated with multi-sublinear maximal functions were established, enhancing understanding of function behavior.
• Necessary and sufficient conditions were derived for two types of commutators, indicating their importance in mathematical analysis.
• The analysis focused on commutators linked to multi-sublinear maximal functions, which are crucial in various applications within functional spaces.
• Findings underscore the relevance of Lipschitz spaces in maintaining boundedness of commutators, opening avenues for further research.