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math.FA2019
Boundary values of holomorphic semigroups and fractional integration
Omar EL-Mennaoui, Valentin Keyantuo, Ahmed Sani
The concept of boundary values of holomorphic semigroups in a general Banach space is studied. As an application, we consider the Riemann-Liouville semigroup of integration operato…
math.AP2019
Fractional Gaussian estimates and holomorphy of semigroups
Valentin Keyantuo, Fabian Seoanes, Mahamadi Warma
Let be an arbitrary open set and denote by $(e^{-t(-Δ)_{\RR^N}^s})_{t\ge 0}$ (where ) the semigroup on $L^2(\RR^N)$ generated by the fractional Laplace operat…