Greedy bases in variable Lebesgue spaces
Functional Analysis
2018-10-10 v1
Abstract
We compute the right and left democracy functions of admissible wavelet bases in variable Lebesgue spaces defined on . As an application we give Lebesgue type inequalities for these wavelet bases. We also show that our techniques can be easily modified to prove analogous results for weighted variable Lebesgue spaces and variable exponent Triebel-Lizorkin spaces.
Cite
@article{arxiv.1410.1819,
title = {Greedy bases in variable Lebesgue spaces},
author = {David Cruz-Uribe and SFO and Eugenio Hernández and José María Martell},
journal= {arXiv preprint arXiv:1410.1819},
year = {2018}
}