Besov-ish spaces through atomic decomposition
Classical Analysis and ODEs
2022-03-23 v2 Analysis of PDEs
Dynamical Systems
Functional Analysis
Abstract
We use the method of atomic decomposition to build new families of function spaces, similar to Besov spaces, in measure spaces with grids, a very mild assumption. Besov spaces with low regularity are considered in measure spaces with good grids, and results on multipliers and left compositions are obtained.
Cite
@article{arxiv.1903.06937,
title = {Besov-ish spaces through atomic decomposition},
author = {Daniel Smania},
journal= {arXiv preprint arXiv:1903.06937},
year = {2022}
}
Comments
55 pages, 3 figures. In this version we updated the bibliography and we fixed a few typos