Weighted sharp boundedness for multilinear commutators

• Published in: Український математичний журнал
• Date: 2007
• ISSN: 1027-3190
• Main Authors: Hong Xu, Liu Lanzhe, Zeng Jiasheng
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/172500
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Weighted sharp boundedness for multilinear commutators / Hong Xu, Liu Lanzhe, Zeng Jiasheng // Український математичний журнал. — 2007. — Т. 59, № 10. — С. 1419–1431. — Бібліогр.: 12 назв. — англ.

In this paper, the sharp estimates for some multilinear commutators related to certain sublinear integral operators are obtained. The operators include the Littlewood - Paley operator and the Marcinkiewicz operator. As application, we obtain the weighted L^p (p > 1) inequalities and L log L-type...