N. G. Göğüş

activity

20112022

L^{p}

regularity of the Berezin transform

7 citations · 15 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.CV2022

Core Sets in Kahler Manifolds

Nihat Gökhan Gögüş, Ozan Günyüz, Özcan Yazıcı

The primary objective of this paper is to study core sets in the setting of m-subharmonic functions on the class of (non-compact) Kahler manifolds. Core sets are investigated in di…

math.CV2021★ 7 cited

A sufficient condition for $L^{p}$ regularity of the Berezin transform

Nihat Gokhan Gogus, Sonmez Sahutoglu

We prove that the Berezin transform is $L^{p}$ regular on a large class of domains in $C^{n}$ and not $L^{2}$ regular on the Hartogs triangle.

math.CV2017★ 3 cited

Schatten class Hankel and $\partial$ -Neumann operators on pseudoconvex domains in $C^{n}$

Nihat Gokhan Gogus, Sonmez Sahutoglu

Let $Ω$ be a $C^{2}$ -smooth bounded pseudoconvex domain in $C^{n}$ for $n \geq 2$ and let $φ$ be a holomorphic function on $Ω$ that is $C^{2}$ -smooth on the closure of $Ω$ . We pr…

math.CV2011★ 2 cited

Continuity of Plurisubharmonic Envelopes in $C^{2}$

Nihat Gokhan Gogus, Sonmez Sahutoglu

We show that in $C^{2}$ if the set of strongly regular points are closed in the boundary of a smooth bounded pseudoconvex domain, then the domain is c-regular, that is, the…

Core Sets in Kahler Manifolds

A sufficient condition for Lp regularity of the Berezin transform

Schatten class Hankel and ∂-Neumann operators on pseudoconvex domains in Cn

Continuity of Plurisubharmonic Envelopes in C2

A sufficient condition for $L^{p}$ regularity of the Berezin transform

Schatten class Hankel and $\partial$ -Neumann operators on pseudoconvex domains in $C^{n}$

Continuity of Plurisubharmonic Envelopes in $C^{2}$