Abstract
Abstract In this paper, the inequality of boundedness for the multilinear fractional singular integral operators associated to the weighted Lipschitz functions is estimated. The operators include the Calderón-Zygmund singular integral operator and the fractional integral operator. MSC:42B20, 42B25.
Highlights
As the development of the singular integral operators, their commutators and multilinear operators have been well studied
In [, – ], the authors proved that the commutators and multilinear operators generated by the singular integral operators and BMO functions are bounded on Lp(Rn) for < p < ∞
In [ – ], the boundedness for the commutators and multilinear operators generated by the singular integral operators and Lipschitz functions on Lp(Rn) ( < p < ∞) and TriebelLizorkin spaces are obtained
Summary
As the development of the singular integral operators, their commutators and multilinear operators have been well studied (see [ – ]). In [ – , – ], the authors proved that the commutators and multilinear operators generated by the singular integral operators and BMO functions are bounded on Lp(Rn) for < p < ∞. In [ – ], the boundedness for the commutators and multilinear operators generated by the singular integral operators and Lipschitz functions on Lp(Rn) ( < p < ∞) and TriebelLizorkin spaces are obtained.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
