Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (1): 49-61.

• Articles • Previous Articles     Next Articles

Littlewood-Paley g*λ-function Associated to Schr\"{o}dinger Operator

 HUANG Ji-Zheng   

  1. College of Sciences, North China University of Technology, Beijing 100144
  • Received:2011-10-24 Revised:2013-09-20 Online:2014-02-25 Published:2014-02-25
  • Supported by:

    国家自然科学基金(11001002)和青年拔尖人才培育项目(BJRC201301)资助.

Abstract:

Let L=-Δ+V be a Schr\"{o}dinger operator, where Δ is the Laplacian on Rd and the nonnegative potential V belongs to the reverse H\"{o}lder class Bd/2. In this paper, we investigate the boundedness of Littlewood-Paley g*λ-function associated to Schr\"{o}dinger operator L.

Key words: Schr\"{o}dinger operator, Reverse H\"{o}lder class, g*λ-Function

CLC Number: 

  • 35J10
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