Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1038-1045.

• Articles • Previous Articles     Next Articles

The Sufficient and Necessary Conditions for Trigonometric Series Belonging to Ba Spaces

Yu Dansheng1|Zhou Songping2   

  1. (1.Department of Mathematics, Hangzhou Normal University,Hangzhou 310018|2.Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018)
  • Received:2006-01-08 Revised:2007-11-10 Online:2008-12-25 Published:2008-12-25
  • Contact: Yu Dansheng

Abstract:

The present paper gives a sufficient and necessary condition for sine series and cosine series, with their coefficients satisfying NBV condition, belonging to Ba spaces. This is the first result on Ba spaces and can be regarded as an essential generalization of that on Lp spaces.

Key words: Trigonometric series, Monotonicity, Ba spaces, Suffcient and necessary condition

CLC Number: 

  • 42A20
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