Abstract
In this paper, we prove the endpoint estimates for vector-valued multilinear commutator of fractional area integral operator. MSC: 42B20; 42B25
Highlights
Let b ∈ BMO(Rn) and T be the Calderón-Zygmund operator, the commutator [b, T] generated by b and T is defined by [b, T](f )(x) = b(x)T(f )(x) – T(bf )(x).A classical result of Coifman, Rochberb and Weiss proved that the commutator [b, T] is bounded on Lp(Rn) ( < p < ∞)
We prove the endpoint estimates for vector-valued multilinear commutator of fractional area integral operator
We introduce vectorvalued multilinear commutator of fractional area integral operator and prove the endpoint estimates for the commutator |Sψb,δ|r generated by the fractional area integral operator Sψ,δ and BMO functions
Summary
We prove the endpoint estimates for vector-valued multilinear commutator of fractional area integral operator. 1 Introduction Let b ∈ BMO(Rn) and T be the Calderón-Zygmund operator, the commutator [b, T] generated by b and T is defined by We introduce vectorvalued multilinear commutator of fractional area integral operator and prove the endpoint estimates for the commutator |Sψb ,δ|r generated by the fractional area integral operator Sψ,δ and BMO functions.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
