Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (zk): 616-624.

• Articles • Previous Articles     Next Articles

Weighted local hardy spaces on locally compact vilenkin groups

ZHU Yue-Ping   

  1. department of mathematics,natong teachers college,nantong 226007
  • Online:2000-11-10 Published:2000-11-10

Abstract:

In this paper a weighted local hardy spaces on locally compact Vilenkin groups is defined, its atomic decomposition and duality properties are given. And the behavior of certain types of convolution operators on the weighted local Hardy space is studied.

Key words: local Hardy space , atomic decomposition , Vilenkin groups

CLC Number: 

  • 42B15
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