2010•Journal of East China Jiaotong UniversityRequires access

Boundedness for θ(t)-type Calderón-Zygmund Operators on Lipschitz Spaces

Diao Jundong

Abstract

In order to solve the boundedness problem of the θ(t)-type Calderon-Zygmund integral operator in lipschitz spaces,a θ(t)-type kernel in place of a standard singular integral kernel is used,when μ is non doubling measures it could get that the following two statements are equivalent:a)‖Te1‖Λβ≤c1;Te:Λβ→Λβare bounded and‖Te‖Λβ→Λβ≤c2.

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Key concepts: Mathematics, Lipschitz continuity, Type (biology), Kernel (algebra), Operator (biology), Bounded function, Singular integral, Pure mathematics