Characterization of weighted function spaces in terms of wavelet transforms
In this paper, we have characterized a weighted function space $ B_{\omega,\psi}^{p,q}, ~ 1\leq p,q<\infty$ in terms of wavelet transform and shown that the norms on the spaces $B_{\omega,\psi}^{p,q}$ and $\bigwedge_\omega^{p,q}$ (the space defined in terms of differences $\triangle_x$) are equi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2019-10-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36226 |
| id |
doaj-71d2ee0d6a6f4e5a9a9513d4bf57aae4 |
|---|---|
| record_format |
Article |
| spelling |
doaj-71d2ee0d6a6f4e5a9a9513d4bf57aae42020-11-24T22:45:47ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882019-10-01374698210.5269/bspm.v37i4.3622618048Characterization of weighted function spaces in terms of wavelet transformsSanjay Sharma0Drema Lhamu1Sunil Kumar Singh2Rajiv Gandhi University Department of MathematicsRajiv Gandhi University Department of MathematicsRajiv Gandhi University Department of MathematicsIn this paper, we have characterized a weighted function space $ B_{\omega,\psi}^{p,q}, ~ 1\leq p,q<\infty$ in terms of wavelet transform and shown that the norms on the spaces $B_{\omega,\psi}^{p,q}$ and $\bigwedge_\omega^{p,q}$ (the space defined in terms of differences $\triangle_x$) are equivalent.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36226Waveletswavelet transformsweight functions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sanjay Sharma Drema Lhamu Sunil Kumar Singh |
| spellingShingle |
Sanjay Sharma Drema Lhamu Sunil Kumar Singh Characterization of weighted function spaces in terms of wavelet transforms Boletim da Sociedade Paranaense de Matemática Wavelets wavelet transforms weight functions |
| author_facet |
Sanjay Sharma Drema Lhamu Sunil Kumar Singh |
| author_sort |
Sanjay Sharma |
| title |
Characterization of weighted function spaces in terms of wavelet transforms |
| title_short |
Characterization of weighted function spaces in terms of wavelet transforms |
| title_full |
Characterization of weighted function spaces in terms of wavelet transforms |
| title_fullStr |
Characterization of weighted function spaces in terms of wavelet transforms |
| title_full_unstemmed |
Characterization of weighted function spaces in terms of wavelet transforms |
| title_sort |
characterization of weighted function spaces in terms of wavelet transforms |
| publisher |
Sociedade Brasileira de Matemática |
| series |
Boletim da Sociedade Paranaense de Matemática |
| issn |
0037-8712 2175-1188 |
| publishDate |
2019-10-01 |
| description |
In this paper, we have characterized a weighted function space $ B_{\omega,\psi}^{p,q}, ~ 1\leq p,q<\infty$ in terms of wavelet transform and shown that the norms on the spaces $B_{\omega,\psi}^{p,q}$ and $\bigwedge_\omega^{p,q}$ (the space defined in terms of differences $\triangle_x$) are equivalent. |
| topic |
Wavelets wavelet transforms weight functions |
| url |
http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/36226 |
| work_keys_str_mv |
AT sanjaysharma characterizationofweightedfunctionspacesintermsofwavelettransforms AT dremalhamu characterizationofweightedfunctionspacesintermsofwavelettransforms AT sunilkumarsingh characterizationofweightedfunctionspacesintermsofwavelettransforms |
| _version_ |
1725687532879872000 |