Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (3): 691-699.

• Articles • Previous Articles     Next Articles

Characterizations of the Hardy Space H1(R) in Terms of |Tight Wavelet Frame Coefficients

 LU Da-Yong, LIU Zhan-Wei, WU Guo-Chang   

  1. School of Mathematics and Information Science, Henan University, Henan Kaifeng 475001; College of Information Engineering, Zhengzhou University, Zhengzhou 450001; Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450001
  • Received:2012-10-28 Revised:2013-11-15 Online:2014-06-25 Published:2014-06-25
  • Supported by:

    河南省教育厅自然科学研究项目(13A110072)、河南省科技厅项目(132300410150)和2011年度河南大学校内科研基金(2011YBZR001)资助

Abstract:

To characterize the Hardy spaces H1(R) in terms of orthonormal basis coefficients have been verified successfully. In this paper, we give a characterization of H1(R) in terms of tight wavelet frame coefficients by means of properties of tight wavelet frames and the relationships between them and orthonormal bases.

Key words: Hardy spaces, Frames, Tight wavelet frames, Characterization of function spaces

CLC Number: 

  • 42C15
Trendmd