Extremal functions on the spaces H_{a,σ}^{s,α,n}(R₊^{d+1})

Hassen Houcine Ben Mohamed, Mohamed Moktar Chaffar, Nahed Krir

Abstract


In this paper, we consider the generalized Weinstein operator Δ_{W}^{d,α,n}, we introduce and study the Sobolev-Gevrey spaces associated with the generalized Weinstein operator and investigate their properties. Next, as application, we study the extremal functions on the spaces H_{a,σ}^{s,α,n}(R₊^{d+1}) using the theory of reproducing kernels

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