$L^p$ mapping properties of the Bergman projection on the Hartogs triangle
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- by Debraj Chakrabarti and Yunus E. Zeytuncu PDF
- Proc. Amer. Math. Soc. 144 (2016), 1643-1653 Request permission
Abstract:
We prove optimal estimates for the mapping properties of the Bergman projection on the Hartogs triangle in weighted $L^p$ spaces when $p>\frac {4}{3}$, where the weight is a power of the distance to the singular boundary point. For $1<p\leq \frac {4}{3}$ we show that no such weighted estimates are possible.References
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Additional Information
- Debraj Chakrabarti
- Affiliation: Department of Mathematics, Central Michigan University, Mt. Pleasant, Michigan 48859
- MR Author ID: 827655
- Email: chakr2d@cmich.edu
- Yunus E. Zeytuncu
- Affiliation: Department of Mathematics and Statistics, University of Michigan - Dearborn, Dearborn, Michigan 48128
- MR Author ID: 796075
- Email: zeytuncu@umich.edu
- Received by editor(s): December 12, 2014
- Received by editor(s) in revised form: April 28, 2015
- Published electronically: August 12, 2015
- Additional Notes: The first author was partially supported by grant #316632 from the Simons Foundation and also by an Early Career internal grant from Central Michigan University
- Communicated by: Franc Forstneric
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 1643-1653
- MSC (2010): Primary 32A25, 32A07
- DOI: https://doi.org/10.1090/proc/12820
- MathSciNet review: 3451240