Pointwise Estimates for the Bergman Kernel of the Weighted Fock Space

By Jordi Marzo, J. Ortega‐Cerdà. 2008

62 citations recorded by the source corpus.

We prove upper pointwise estimates for the Bergman kernel of the weighted Fock space of entire functions in L2(e−2φ) where φ is a subharmonic function with Δφ a doubling measure. We derive estimates for the canonical solution operator to the inhomogeneous Cauchy-Riemann equation and we characterize the compactness of this operator in terms of Δφ.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/370f0e47dcc7c6d2863e4eb6d3e39e2851fae0ae

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. E. Youssfi
2. Kristian Seip
3. J. A. Pel'aez
4. O. Constantin
5. Chun-Kit Lai

In Geometry and Topology

1. E. Youssfi
2. Kristian Seip

Citations in the corpus

• Hankel Operators on Fock Spaces and Related Bergman Kernel Estimates (2010, methodology): “For Bergman kernel estimates in similar settings, we refer to [14] and [15].”