4 citations · 7 across the 6 of their papers we have counts for
7 papers
A Canonical Positive Definite Kernel Associated with the -Bergman Kernel
Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar
Let and . The -Bergman kernel , introduced by Bao and Guan, generalizes the classical Bergman kernel by replacing the point ev…
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…
A Note on Kernel Functions of Dirichlet Spaces
Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar
For a planar domain , we consider the Dirichlet spaces with respect to a base point and the corresponding kernel functions. It is not known how these kernel functions be…
Weighted Szegő Kernels on Planar Domains
Aakanksha Jain, Kaushal Verma
We study properties of weighted Szegő and Garabedian kernels on planar domains. Motivated by the unweighted case as explained in Bell's work, the starting point is a weighted Kerzm…
Weighted Bergman Kernels on Planar Domains
Aakanksha Jain, Kaushal Verma
Boundary Behaviour of Weighted Bergman Kernels: For a planar domain and an admissible weight function on it, some aspects of the boundary behaviour of th…
The Reduced Bergman Kernel and its Properties
Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar
In this article, we study some properties of the -th order weighted reduced Bergman kernels for planar domains, . Specifically, we look at Ramadanov type theorems, loca…
Transformation formula for the Reduced Bergman kernel and its Application
Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar
In this article, we prove the transformation formula for the reduced Bergman kernels under proper holomorphic correspondences between bounded domains in the complex plane. As a cor…