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.

Bibliographic Details
Main Author: Agnieszka Wojciechowska
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/328310