Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 959-967.

• Articles • Previous Articles     Next Articles

Hypersingular Integrals along Hypersurface on Modulation Spaces

 CHENG Mei-Fang1, ZHANG Zhen-Qiu2   

  1. 1.College of Mathematics and Computer Sciences, Anhui Normal University, Anhui Wuhu 241000;
    2.School of Mathematical Sciences, Nankai University, Tianjin 300071
  • Received:2009-03-06 Revised:2010-05-11 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金(10671041, 10971039)、安徽省教育厅一般项目(KJ2008B244)和安徽师范大学青年科学基金(2007xqn50)资助

Abstract:

Let

Tf(x,xn)=p.v.f(xy,xnγ(y))e2πi|y|βΩ(y)h(y)|y|n+α1dy,   x,yRn1,xnR.
The purpose of this paper is to investigate the boundedness of such integral operators  on general modulation spaces. Here the rough kernel Ω is in the L1(Sn2), h(y) is a bounded radial fuction and γ(y) is an appropriate hypersurface.

Key words: Hyper-singular integral, Modulation space, Hypersurface

CLC Number: 

  • 42B20
Trendmd