JIPAM logo: Home Link
 
Home Editors Submissions Reviews Volumes RGMIA About Us
 

   
  Volume 8, Issue 1, Article 23
 
Boundedness of the Wavelet Transform in Certain Function Spaces

    Authors: R.S. Pathak, S.K. Singh,  
    Keywords: Continuous wavelet transform, Distributions, Sobolev space, Besov space, Lizorkin-Triebel space.  
    Date Received: 06/10/05  
    Date Accepted: 25/01/07  
    Subject Codes:

42C40, 46F12.

 
    Editors: Lokenath Debnath,  
 
    Abstract:

Using convolution transform theory boundedness results for the wavelet transform are obtained in the Triebel space- $ L_{p}^{$ Omega,k}$, Hörmander space- $ B_{p,q}($ mathbb{R}^n)$ and general function space- $ L_{$ infty ,k},$ where $ k$ denotes a weight function possessing specific properties in each case.

         
       
  Download Screen PDF
  Download Print PDF
  Send this article to a friend
  Print this page
 

      search [advanced search] copyright 2003 terms and conditions login