JournalsrmiVol. 39, No. 4pp. 1233–1246

The reconstruction theorem in quasinormed spaces

  • Pavel Zorin-Kranich

    Universität Bonn, Germany
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Abstract

We extend the Hairer reconstruction theorem for distributions due to Caravenna and Zambotti [EMS Surv. Math. Sci. 7.2 (2020)] 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 this article

Pavel Zorin-Kranich, The reconstruction theorem in quasinormed spaces. Rev. Mat. Iberoam. 39 (2023), no. 4, pp. 1233–1246

DOI 10.4171/RMI/1355