2 papers
math.CV2025
Weighted Kernel Functions on Planar Domains
Aakanksha Jain, Kaushal Verma
We study the variation of weighted SzegÅ 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…
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…