Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^3

September 19, 2023
4:00PM - 5:00PM
MW 154

Date Range
Add to Calendar 2023-09-19 16:00:00 2023-09-19 17:00:00 Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^3 Title:  Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^3 Speaker:  Adam Christopherson (OSU) Abstract:  In this talk, we give a complete characterization of the weak-type regularity of the Bergman projection on rational  power-generalized Hartogs triangles in C^3. In particular, we show that the Bergman projection satisfies a weak-type estimate only at the upper endpoint of L^p boundedness on both of these domains. A similar result has been observed by Huo-Wick and Koenig-Wang for the classical Hartogs triangle and punctured unit ball, respectively. This work is joint with K.D. Koenig. URL associated with Seminar:  https://u.osu.edu/hascv/ MW 154 Department of Mathematics math@osu.edu America/New_York public

Title:  Weak-type regularity of the Bergman projection on generalized Hartogs triangles in C^3

Speaker:  Adam Christopherson (OSU)

Abstract:  In this talk, we give a complete characterization of the weak-type regularity of the Bergman projection on rational  power-generalized Hartogs triangles in C^3. In particular, we show that the Bergman projection satisfies a weak-type estimate only at the upper endpoint of L^p boundedness on both of these domains. A similar result has been observed by Huo-Wick and Koenig-Wang for the classical Hartogs triangle and punctured unit ball, respectively. This work is joint with K.D. Koenig.

URL associated with Seminar:  https://u.osu.edu/hascv/

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