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math.FA2018★ 5 cited
Functional characterizations of trace spaces in Lipschitz domains
Soumia Touhami, Abdellatif Chaira, Delfim F. M. Torres
Using a factorization theorem of Douglas, we prove functional characterizations of trace spaces involving a family of positive self-adjoint operators. Our method…
math.FA2018
Harmonic and Trace Inequalities in Lipschitz Domains
Soumia Touhami, Abdellatif Chaira, Delfim F. M. Torres
We prove boundary inequalities in arbitrary bounded Lipschitz domains on the trace space of Sobolev spaces. For that, we make use of the trace operator, its Moore-Penrose inverse,…