Dimitrios Betsakos

activity

20202026

most citedSemigroups of holomorphic functions; rectifiability and Lipschitz properties of the orbits

1 citations · 1 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.CA2022

Temperature on rods with Robin boundary conditions

Dimitrios Betsakos, Alexander Yu. Solynin

We consider solutions $u_{f}$ to the one-dimensional Robin problem with the heat source $f \in L^{1} [- π, π]$ and Robin parameter $α > 0$ . For given $m$ , $M$ , and $s$ , $0 \leq m < s < M$ , we iden…

math.CV2022

On the monotonicity of the speeds for semigroups of holomorphic self-maps of the unit disk

Dimitrios Betsakos, Nikolaos Karamanlis

We study semigroups $(ϕ_{t})_{t \geq 0}$ of holomorphic self-maps of the unit disk with Denjoy-Wolff point on the boundary. We show that the orthogonal speed of such semigroups is a s…

math.CV2022

Conformal capacity of hedgehogs

Dimitrios Betsakos, Alexander Solynin, Matti Vuorinen

In this paper we discuss problems concerning the conformal condenser capacity of "hedgehogs", which are compact sets $E$ in the unit disk $D = {z : ∣ z ∣ < 1}$ consisting of a…