Reconstruction theorem in quasinormed spaces

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.

v3: 11 pages, with small corrections and additional references. To appear in Rev. Mat. Iberoam