Vlassis Mastrantonis

collaborators

3 papers

math.FA2024

A Santaló inequality for the $L^{p}$ -polar body

Vlassis Mastrantonis

In recent work with Berndtsson and Rubinstein, a notion of $L^{p}$ -polarity was introduced, with classical polarity recovered in the limit $p \to \infty$ , and $L^{1}$ -polarity closely re…

math.CV2016

Relations of the spaces $A^{p} (Ω)$ and $C^{p} (\partial Ω)$

Vlassis Mastrantonis

In this paper we prove that for functions $f \in A (D)$ there is an equivalence between the continuous extension of their derivatives over the boundary and the differentiability of t…

math.CV2016

Nowhere differentiable functions of analytic type on products of finitely connected planar domains

Vlassis Mastrantonis, Christoforos Panagiotis

Using Laurent decomposition and Mergelyan's theorem combined with Baire's category theorem, we prove generic nowhere differentiability on the distinguished boundary of functions of…

A Santaló inequality for the Lp-polar body

Relations of the spaces Ap(Ω) and Cp(∂Ω)

Nowhere differentiable functions of analytic type on products of finitely connected planar domains

A Santaló inequality for the $L^{p}$ -polar body

Relations of the spaces $A^{p} (Ω)$ and $C^{p} (\partial Ω)$