Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces | Zendy

Songbai Wang | Zendy; Yinsheng Jiang | Zendy

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Multilinear Singular Integrals and their Commutators with Nonsmooth Kernels on Weighted Morrey Spaces

Author(s) -

Songbai Wang,

Yinsheng Jiang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/280401

Subject(s) - mathematics , multilinear map , bounded function , path (computing) , matrix (chemical analysis) , product (mathematics) , pure mathematics , combinatorics , mathematical analysis , geometry , chemistry , chromatography , computer science , programming language

Some multilinear maximal functions and the generalized Calderón-Zygmund operators and their commutators with nonsmooth kernels are studied. The purpose of this paper is to establish that these operators are bounded on certain product Morrey spaces Lp,k(ℝn). Based on the boundedness of these operators from Lp1(ωi)×⋯×Lpm(ωm) to Lp(∏j=1mωjp/pj), we obtained that they are also bounded from Lp1,k(ωi)×⋯×Lpm,k(ωm) to Lp,k(∏j=1mωjp/pj) with 0

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