Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Elmar Schrohe

External Research Organisations

  • Johannes Gutenberg University Mainz
View graph of relations

Details

Original languageEnglish
Pages (from-to)271-284
Number of pages14
JournalIntegral Equations and Operator Theory
Volume13
Issue number2
Publication statusPublished - Mar 1990
Externally publishedYes

Abstract

It is shown that pseudodifferential operators with symbols in the standard classes Sρ,δm(ℝn) define bounded maps between large classes of weighted LP-Sobolev spaces where the growth of the weight does not have to be isotropic. Moreover, the spectrum is independent of the choice of the space.

ASJC Scopus subject areas

Cite this

Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces. / Schrohe, Elmar.
In: Integral Equations and Operator Theory, Vol. 13, No. 2, 03.1990, p. 271-284.

Research output: Contribution to journal › Article › Research › peer review

Download
@article{e1e73fbd5d374dc4b06902a16e91e5f6,
title = "Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces",
abstract = "It is shown that pseudodifferential operators with symbols in the standard classes Sρ,δm(ℝn) define bounded maps between large classes of weighted LP-Sobolev spaces where the growth of the weight does not have to be isotropic. Moreover, the spectrum is independent of the choice of the space.",
author = "Elmar Schrohe",
note = "Copyright: Copyright 2007 Elsevier B.V., All rights reserved.",
year = "1990",
month = mar,
doi = "10.1007/BF01193760",
language = "English",
volume = "13",
pages = "271--284",
journal = "Integral Equations and Operator Theory",
issn = "0378-620X",
publisher = "Birkhauser Verlag Basel",
number = "2",

}

Download

TY - JOUR

T1 - Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted LP-Sobolev spaces

AU - Schrohe, Elmar

N1 - Copyright: Copyright 2007 Elsevier B.V., All rights reserved.

PY - 1990/3

Y1 - 1990/3

N2 - It is shown that pseudodifferential operators with symbols in the standard classes Sρ,δm(ℝn) define bounded maps between large classes of weighted LP-Sobolev spaces where the growth of the weight does not have to be isotropic. Moreover, the spectrum is independent of the choice of the space.

AB - It is shown that pseudodifferential operators with symbols in the standard classes Sρ,δm(ℝn) define bounded maps between large classes of weighted LP-Sobolev spaces where the growth of the weight does not have to be isotropic. Moreover, the spectrum is independent of the choice of the space.

UR - http://www.scopus.com/inward/record.url?scp=0009408905&partnerID=8YFLogxK

U2 - 10.1007/BF01193760

DO - 10.1007/BF01193760

M3 - Article

AN - SCOPUS:0009408905

VL - 13

SP - 271

EP - 284

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

SN - 0378-620X

IS - 2

ER -