Bergman-type projections in generalized Fock spaces
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
TL;DR
This paper establishes criteria for the boundedness of Bergman-type projections on Lp-spaces within generalized Fock spaces, providing complete characterizations for certain parameter ranges and partial results for others.
Contribution
It offers new boundedness criteria for Bergman-type projections in generalized Fock spaces with Gaussian weights, extending previous understanding to broader parameter ranges.
Findings
Complete characterization for 0<m<=1 and 2n/(2n-1)<m<2.
Partial results for other values of m.
Criteria depend on the parameters of the Gaussian weights.
Abstract
We give criteria for boundedness of the associated Bergman-type projections on Lp-spaces on Cn with respect to generalized Gaussian weights exp(-|z|^2m). Complete characterization is obtained for 0<m<=1 and 2n/(2n-1)<m<2; partial results are given for other values of m.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Advanced Banach Space Theory