Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (3): 339-349.

• Articles • Previous Articles     Next Articles

CONTINUITY FOR MAXIMAL COMMUTATORS OF BOCHNER-RIESZ OPERATORS WITH BMO FUNCTIONS

 JIANG Yin-Sheng, TANG Lin, YANG Da-Chun   

  1. Department of Mathematics, Xinjiang University, Urumqi 830046, China Department of Mathematics, Beijing Normal University, Beijing 100875, China
  • Online:2001-07-06 Published:2001-07-06
  • Supported by:

    Tang Lin and Yang Dachun are supported in part by the NNSF and the SEDF of China.

Abstract:

Let p 2 (n/(n + 1), 1]. The authors investigate the (Hp b (Rn),Lp(Rn))-type and (Hp,1 b (Rn),Lp,1(Rn))-type continuities for the maximal operators associated with the commutators of Bochner-Riesz operators with BMO(Rn) functions, where Hp b (Rn) and Hp,1 b (Rn) are, respectively, the variants of the standard Hardy spaces and the standard weak Hardy spaces.

Key words: Bochner-Riesz operator, BMO(Rn), commutator, maximal operator, Hardy space and weak Hardy space

CLC Number: 

  • 42B25
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