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Hokkaido University Preprint Series in Mathematics >
The characterizations of weighted Sobolev spaces by wavelets and scaling functions
| Title: | The characterizations of weighted Sobolev spaces by wavelets and scaling functions |
| Authors: | Izuki, Mitsuo Browse this author |
| Keywords: | Ap weight | | Aloc p weight | | wavelet | | scaling function | | weighted Sobolev space | | unconditional basis | | greedy basis |
| Issue Date: | 9-Oct-2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 811 |
| Start Page: | 1 |
| End Page: | 29 |
| Abstract: | We prove that suitable wavelets and scaling functions give characterizations and unconditional bases of the weighted Sobolev space Lp,s(w) with Ap or Aloc p weights. In the case of w 2 Ap, we use only wavelets with proper regularity. If we consider the case of w 2 Aloc p , we obtain the results by applying wavelets and scaling functions in Cs+1 comp(Rn). We also construct the greedy bases for Lp,s(w) by normalizing the unconditional bases in both of two cases. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69619 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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