5 citations · 5 across the 4 of their papers we have counts for
4 papers
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…
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,…
Riesz bases for and regularity for the Laplace equation in Lipschitz domains
Abdellatif Chaira, Soumia Touhami
In a paper from 1996, D. Jerison and C. Kenig among other results provided a regularity result for the Dirichlet problem for the Laplace equation in Lipschitz domains. In…
A boundary formula for reproducing kernel Hilbert spaces of real harmonic functions in Lipschitz domains
Soumia Touhami, Abdellatif Chaira
This paper develops a new Hilbert space method to characterize a family of reproducing kernel Hilbert spaces of real harmonic functions in a bounded Lipschitz domain $Ω\subset \mat…