| |
|
|
| |
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-  , Hörmander space-  and general function space-  where  denotes a weight function possessing specific properties in each case.
|
|
|
|
|
|
| |
|
|
|
|
| |
|
|
|
|
|
Home
