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Title: Functional characterizations of trace spaces in Lipschitz domains
Author: Touhami, Soumia
Chaira, Abdellatif
Torres, Delfim F. M.
Keywords: Lipschitz domains
Trace spaces
Trace operators
Moore–Penrose pseudoinverse
Issue Date: 2019
Publisher: Duke University Press
Abstract: Using a factorization theorem of Douglas, we prove functional characterizations of trace spaces Hs (∂Ω) involving a family of positive selfadjoint operators. Our method is based on the use of a suitable operator by taking the trace on the boundary ∂Ω of a bounded Lipschitz domain Ω ⊂ R d and applying Moore–Penrose pseudoinverse properties together with a special inner product on H1 (Ω). We also establish generalized results of the Moore– Penrose pseudoinverse.
Peer review: yes
DOI: 10.1215/17358787-2018-0044
ISSN: 1735-8787
Publisher Version:
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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