4 papers · 1 filter
Abundance of Bergman metrics with constant positive holomorphic sectional curvature
Shreedhar Bhat, Soumya Ganguly, Achinta Kumar Nandi +1
An outstanding open question, which has attracted renewed attention following the pioneering work of Huang--Li--Treuer, is whether, for a given positive integer , there exists a…
Stability of the Monomial Basis Kernel of Reinhardt domains
Shreedhar Bhat, Sahil Gehlawat
On a pseudoconvex Reinhardt domain the -Bergman space admits a canonical basis of monomials indexed by a subset . T…
On the dimension of the -Bergman spaces
Shreedhar Bhat, Achinta Kumar Nandi
The investigation of the dimension of Bergman spaces has long been a central topic in several complex variables, uncovering profound connections with potential theory and function…
Duality and Interpolation of Bergman Spaces
Shreedhar Bhat
This paper explores the dual space corresponding to p-Bergman space and examines the essential condition for the dual space to be a q-Bergman space. The investigation involves a de…