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2015 $M^k$-Type Sharp Maximal Function Inequalities and Boundedness for Toeplitz Type Operator Associated to Pseudo-differential Operator
Lanzhe Liu
Ann. Funct. Anal. 6(1): 12-23 (2015). DOI: 10.15352/afa/06-1-2

Abstract

In this paper, we establish the $M^k$-type sharp maximal function inequalities for the Toeplitz type operator associated to the pseudo-differential operator. As an application, we obtain the boundedness of the operator on Lebesgue and Morrey spaces.

Citation

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Lanzhe Liu. "$M^k$-Type Sharp Maximal Function Inequalities and Boundedness for Toeplitz Type Operator Associated to Pseudo-differential Operator." Ann. Funct. Anal. 6 (1) 12 - 23, 2015. https://doi.org/10.15352/afa/06-1-2

Information

Published: 2015
First available in Project Euclid: 19 December 2014

zbMATH: 1272.47062
MathSciNet: MR3297784
Digital Object Identifier: 10.15352/afa/06-1-2

Subjects:
Primary: 47A20
Secondary: 42B20 , 47A25

Keywords: BMO , Morrey space , ‎pseudo-differential operator , sharp maximal function , Toeplitz type operator

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.6 • No. 1 • 2015
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