Domains of type 1,1 operators: a case for Triebel--Lizorkin spaces
Analysis of PDEs
2017-02-08 v1
Abstract
Pseudo-differential operators of type 1,1 are proved continuous from the Triebel--Lizorkin space to for , when of order d, and this is the largest possible domain among the Besov and Triebel--Lizorkin spaces. H\"ormander's condition on the twisted diagonal is extended to this framework, using a general support rule for Fourier transformed pseudo-differential operators.
Keywords
Cite
@article{arxiv.1702.02033,
title = {Domains of type 1,1 operators: a case for Triebel--Lizorkin spaces},
author = {Jon Johnsen},
journal= {arXiv preprint arXiv:1702.02033},
year = {2017}
}
Comments
4 pages. Appeared in Comptes Rendu Mathematiques in 2004