Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 603-610.

• Articles • Previous Articles     Next Articles

M2-Type Sharp Maximal Function Estimates and Boundedness for Toeplitz Type Operator Associated to Multiplier Operator

 TONG Li-Juan1, LIU Lan-Zhe2   

  1. 1.Hunan Mechanical and Electrical Polytechnic, Changsha 41000151;
    2.College of Mathematics, Hunan University, Changsha 410077
  • Received:2012-10-24 Revised:2013-11-03 Online:2014-06-25 Published:2014-06-25

Abstract:

In this paper, we establish the M2-type sharp maximal function estimates for the Toeplitz type operator associated to some multiplier operator. As an application, we obtain the boundedness of the operator on Lebesgue and Morrey spaces.

Key words: Toeplitz type operator, Multiplier operator, Sharp maximal function, Morrey space, BMO

CLC Number: 

  • 42B20
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