Kaushal Verma

activity

20102023

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6 papers · 1 filter

math.CV2024

Quasiconformal variants of the Wong--Rosay theorem

Steven G. Krantz, Kaushal Verma

The Wong--Rosay theorem provides a characterization of the unit ball among all strongly pseudoconvex domains in terms of holomorphic automorphism group actions. We explore variants…

math.CV2023

Regularity of the leafwise Poincare metric on singular holomorphic foliations

Sahil Gehlawat, Kaushal Verma

Let $F$ be a smooth Riemann surface foliation on $M ∖ E$ , where $M$ is a complex manifold and the singular set $E \subset M$ is an analytic set of codimension at l…

math.CV2016

Notes on the boundaries of quadrature domains

Kaushal Verma

We highlight an intrinsic connection between classical quadrature domains and the well-studied theme of removable singularities of analytic sets in several complex variables. Explo…

math.CV2014

Quadrature domains in $C^{n}$

Pranav Haridas, Kaushal Verma

We prove two density theorems for quadrature domains in $C^{n}$ , $n \geq 2$ . It is shown that quadrature domains are dense in the class of all product domains of the form $D…

math.CV2010

Holomorphic mappings between domains in $\mbb C^2$

Rasul Shafikov, Kaushal Verma

An extension theorem for holomorphic mappings between two domains in $C^{2}$ is proved under purely local hypotheses.

math.CV2010

Remarks on the metric induced by the Robin function

Diganta Borah, Kaushal Verma

Let $D$ be a smoothly bounded pseudoconvex domain in $C^{n}$ , $n > 1$ . Using $G (z, p)$ , the Green function for $D$ with pole at $p \in D$ associated with the standard sum-of-…