Cohen M-strictly Lipschitz $p$-nuclear operators

• Maatougui Belaala

Cohen has introduced the notion of strongly $p$-summing and $p$% -nuclear for linear operators. Many authors have considered these notions by generalizing in several directions, namely the multilinear, sublinear and Lipschitz cases. In the same circle of ideas, we will make an extension of these notions in order to produce the class of Cohen M-strictly Lipschitz $p$-nuclear operators.\newline \\ \vspace{0.3cm}\\ {\textbf {Keywords:}} Lipschitz $p$-summing operators, MS-Lipschitz $p$-summing operators, MS-Cohen Lipschitz $p$-summing\\ {\bf {2020 Mathematics Subject Classification:}} Primary 47A35, 60Fxx, 60G10.%-----------------------

Fractional Euler-Boussinesq system with Yudovich data

• Oussama Melkemi

The present presentation investigates the two-dimensional Euler-Boussinesq system with critical fractional dissipation and a general source term, where we assume that the initial data are of Yudovich type.