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Weighted estimates of the Bergman projection and some applications

Photo of Zhenghui Huo - has black hair and wears glasses
July 18, 2024
2:00PM - 3:00PM
Math Tower 100A

Date Range
2024-07-18 14:00:00 2024-07-18 15:00:00 Weighted estimates of the Bergman projection and some applications SpeakerZhenghui HuoDuke Kunshan UniversitySpeaker WebsiteAbstractIn harmonic analysis, the Muckenhoupt $A_p$ condition characterizes weighted spaces on which classical operators are bounded. An analogue $B_p$ condition for the Bergman projection on the unit ball was given by Bekolle and Bonami. As the development of the dyadic harmonic analysis techniques, people have made progress on weighted norm estimates of the Bergman projection for various settings. In this talk, I will discuss some of these results and outline the main ideas behind the proof. I will also mention the application of these results in analyzing the $L^p$ boundedness of the projection. This talk is based on joint work with Nathan Wagner and Brett Wick. Math Tower 100A Department of Mathematics math@osu.edu America/New_York public

Speaker
Zhenghui Huo
Duke Kunshan University
Speaker Website

Abstract
In harmonic analysis, the Muckenhoupt $A_p$ condition characterizes weighted spaces on which classical operators are bounded. An analogue $B_p$ condition for the Bergman projection on the unit ball was given by Bekolle and Bonami. As the development of the dyadic harmonic analysis techniques, people have made progress on weighted norm estimates of the Bergman projection for various settings. In this talk, I will discuss some of these results and outline the main ideas behind the proof. I will also mention the application of these results in analyzing the $L^p$ boundedness of the projection. This talk is based on joint work with Nathan Wagner and Brett Wick.

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