2007•Journal of MathematicsRequires access

BOUNDEDNESS OF THETA(t)-TYPE SINGULAR INTEGRAL OPERATORS ON WEIGHTED BANACH SPACES

Limin Ma

Abstract

In this paper, with the help of Calderon-Zygmund decomposition and atomic decomposition of Hardy spaces, the boundedness of the theta(t)-type singular integral operators are discussed. It is showed that the theta(t)-type singular integral operators are bounded on weighted Banach spaces LPB,ω(Mn)(1≤p+∞) and Hardy Banach spaces H1B,ω(Mn),These results are the consummate of the theta(t)-type singular integral operators in several real variables.

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Key concepts: Mathematics, Singular integral operators, Singular integral, Type (biology), Pure mathematics, Banach space, Bounded function, Hardy space