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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. ;


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