2011•Luoyang Shifan Xueyuan xuebaoRequires access

Boundedness of Multilinear Integral Operators with Generalized Type Calderon-Zygmund Kernel on Atom Space

Hua Li

Abstract

Yan Dunyan investigated LP-bundedness of multilinear oszillatory integral with generalized Calderon-Zygmund kernel.Inspired by relevalent papers,this paper studies multilinear integral operators with generalized θ type Calderon-Zygmund kernel and proves the above operators are bounded fromH1(Rn) to L1(Rn).

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Key concepts: Multilinear map, Kernel (algebra), Mathematics, Bounded function, Type (biology), Singular integral operators, Space (punctuation), Hardy space