E. Poletsky

activity

19922019

most citedFunctions holomorphic along holomorphic vector fields

14 citations · 22 across the 16 of their papers we have counts for

collaborators

21 papers

math.CV2019

Pluricomplex Green functions on manifolds

Evgeny A. Poletsky

In this paper we prove the basic facts for pluricomplex Green functions on manifolds. The main goal is to establish properties of complex manifolds that make them analogous to rela…

math.CV2017

Plurisubharmonically separable complex manifolds

Evgeny A. Poletsky, Nikolay Shcherbina

Let $M$ be a complex manifold and $P S H^{c b} (M)$ be the space of bounded continuous plurisubharmonic functions on $M$ . In this paper we study when functions from $P S H^{c b} (M)$ separ…

math.CV2017

Fundamental group and analytic disks

Dayal Dharmasena, Evgeny A. Poletsky

Let $W$ be a domain in a connected complex manifold $M$ and $w_{0} \in W$ . Let $A_{w_{0}} (W, M)$ be the space of all continuous mappings of a closed unit disk $D$ in…

math.CV2015

Projective limits of Poletsky--Stessin Hardy spaces

Evgeny A. Poletsky

In this paper we show that that on a strongly pseudoconvex domain $D$ the projective limit of all Poletsky--Stessin Hardy spaces $H_{u}^{p} (D)$ , introduced in \cite{PS}, is isomorphic…

math.CV2012

Holomorphic fundamental semigroup of Riemann domains

Dayal Dharmasena, Evgeny A. Poletsky

Let $(W, Π)$ be a Riemann domain over a complex manifold $M$ and $w_{0}$ be a point in $W$ . Let $D$ be the unit disk in $C$ and $\mathbb T=\bd\mathbb D$. Consider the…

math.CV2012

Plurisubharmonic subextensions as envelopes of disc functionals

Finnur Larusson, Evgeny A. Poletsky

We prove a disc formula for the largest plurisubharmonic subextension of an upper semicontinuous function on a domain $W$ in a Stein manifold to a larger domain $X$ under suitable…