Spline wavelet decomposition in weighted function spaces
Functional Analysis
2021-06-15 v4
Abstract
Battle-Lemarie wavelet systems of natural orders are established in the paper. The main result of the work is decomposition theorem in Besov and Triebel-Lizorkin spaces with local Muckenhoupt weights, which is performed in terms of bases generated by the systems of such a type. Battle-Lemarie wavelets are splines and suit very well for the study of integration operators.
Cite
@article{arxiv.1911.05255,
title = {Spline wavelet decomposition in weighted function spaces},
author = {Elena P. Ushakova},
journal= {arXiv preprint arXiv:1911.05255},
year = {2021}
}