Sharp Function Estimates And Boundedness For Toeplitz Type Operators Associated To General Integral Operator

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES（2012）

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摘要

In this paper, we establish the sharp maximal function estimates for the Toeplitz type operators associated to some integral operator with general kernel and the Lipschitz functions. As an application, we obtain the boundedness of the Toeplitz type operators on the Lebesgue, Morrey and Triebel-Lizorkin space. The operator includes the Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

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关键词

Toeplitz type operator, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator, Sharp maximal function, Morrey space, Triebel-Lizorkin space, Lipschitz function

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