Refined Two Weight Estimates for the Bergman Projection
Gianmarco Brocchi
TL;DR
This paper establishes new sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ball, using Orlicz averages and mixed $B_{}$-$B_2$ characteristics, advancing understanding of weighted inequalities.
Contribution
It introduces novel sufficient conditions involving Orlicz averages and mixed $B_{}$-$B_2$ characteristics for the two-weight boundedness of the Bergman projection.
Findings
Sufficient conditions in terms of Orlicz averages.
Conditions involving mixed $B_{}$-$B_2$ characteristics.
Applicability to the unit ball setting.
Abstract
We prove sufficient conditions for the two-weight boundedness of the Bergman projection on the unit ball. The first condition is in terms of Orlicz averages of the weights, while the second condition is in terms of the mixed - characteristics.
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 · Geometry and complex manifolds · Advanced Topics in Algebra