Details
Original language | English |
---|---|
Pages (from-to) | 271-284 |
Number of pages | 14 |
Journal | Integral Equations and Operator Theory |
Volume | 13 |
Issue number | 2 |
Publication status | Published - Mar 1990 |
Externally published | Yes |
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
- Mathematics(all)
- Analysis
- Mathematics(all)
- Algebra and Number Theory
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In: Integral Equations and Operator Theory, Vol. 13, No. 2, 03.1990, p. 271-284.
Research output: Contribution to journal › Article › Research › peer review
}
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 -