3 papers
math.CV2025
Weighted Kernel Functions on Planar Domains
Aakanksha Jain, Kaushal Verma
We study the variation of weighted Szegő and Garabedian kernels on planar domains as a function of the weight. A Ramadanov type theorem is shown to hold as the weights vary. As a c…
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.FA2005
A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C^n
Harish Seshadri, Kaushal Verma
Let (M,g) be a simply connected complete Kahler manifold with nonpositive sectional curvature. Assume that g has constant negative holomorphic sectional curvature outside a compact…