A Remark on Wavelet Bases in Weighted 𝐿𝑝 Spaces
The paper deals with unconditional wavelet bases in weighted 𝐿𝑝 spaces. Inhomogeneous wavelets of Daubechies type are considered. Necessary and sufficient conditions for weights are found for which the wavelet system is an unconditional basis in weighted 𝐿𝑝 spaces in dependence on 𝑝.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/328310 |
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| Summary: | The paper deals with unconditional wavelet bases in weighted 𝐿𝑝 spaces. Inhomogeneous wavelets of Daubechies type are considered. Necessary and sufficient conditions for weights are found for which the wavelet system is an unconditional basis in weighted 𝐿𝑝 spaces in dependence on 𝑝. |
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| ISSN: | 0972-6802 1758-4965 |