Spectral invariance for pseudodifferential operators on weighted function spaces
type: Item
instance of: scholarly article
title: Spectral invariance for pseudodifferential operators on weighted function spaces
zbMATH Open document ID: 0810.35173
DOI: 10.1007/BF02567616
author: Hans-Gerd Leopold
author: Hans Triebel
published in: Manuscripta Mathematica
publication date: 1995-04-10T00:00:00Z
full work available at URL: https://eudml.org/doc/155963
review text: The authors consider pseudo-differential operators with symbol in the Hörmander class \(S^ 0_{1,\gamma}\), \(0\leq\gamma <1\). These operators are known to be continuous on spaces similar to the Triebel- Lizorkin and Besov spaces [cf. \textit{L. Paeivaerinta}, Z. Anal. Anwend. 2, 235-242 (1983; Zbl 0544.47046)]. The authors consider a weighted version of these spaces [cf. \textit{H.-J. Schmeisser} and \textit{H. Triebel}, Topics in Fourier analysis and function spaces (1987; Zbl 0661.46025)]\ and prove the spectral invariance on these weighted spaces of selfadjoint pseudo-differential operators.
Mathematics Subject Classification ID: 35S05
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 47A10
zbMATH DE Number: 624938
zbMATH Keywords: Triebel-Lizorkin spaces
zbMATH Keywords: Besov spaces
zbMATH Keywords: spectral invariance
MaRDI profile type: Publication
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OpenAlex ID: W1971027538
description: scientific article; zbMATH DE number 624938