most citedFunctional characterizations of trace spaces in Lipschitz domains

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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,…