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Hokkaido University Preprint Series in Mathematics >
Wavelet characterizations of weighted Herz spaces
| Title: | Wavelet characterizations of weighted Herz spaces |
| Authors: | Izuki, Mitsuo Browse this author | | Tachizawa, Kazuya Browse this author |
| Keywords: | wavelet | | weighted Herz space | | Ap weight | | A1 weight | | unconditional basis |
| Issue Date: | 29-Jan-2007 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 825 |
| Start Page: | 1 |
| End Page: | 13 |
| Abstract: | We characterize the homogeneous weighted Herz space ˙K α,p q (w1,w2) and the non-homogeneous weighted Herz space Kα,p q (w1,w2) using wavelets in C1(Rn) with compact support. Applying the characterizations, we prove that the wavelet basis forms an unconditional basis in ˙Kα,p q (w1,w2) and in Kα,p q (w1,w2) . |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69634 |
| 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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