Reconstruction theorem in quasinormed spaces
Functional Analysis
2022-04-28 v3 Analysis of PDEs
Abstract
We extend the Hairer reconstruction theorem for distributions due to Caravenna and Zambotti (arXiv:2005.09287) to general function spaces satisfying a translation and scaling condition. This includes Besov type spaces with exponents below 1 and Triebel-Lizorkin type spaces.
Cite
@article{arxiv.2107.08666,
title = {Reconstruction theorem in quasinormed spaces},
author = {Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:2107.08666},
year = {2022}
}
Comments
v3: 11 pages, with small corrections and additional references. To appear in Rev. Mat. Iberoam