# $L^p$ boundedness of the Bergman projection on some generalized Hartogs triangles

Document Type : Research Paper

Author

Sabanci University, Orta Mahalle, Universite Caddesi No: 27, Lojmanlari G7-102, Tuzla, 34956 Istanbul, Turkey.

Abstract

‎In this paper we investigate a two classes of domains in $\mathbb{C}^n$ generalizing the Hartogs triangle‎. ‎We prove optimal estimates for the mapping properties of the Bergman projection on these domains.

Keywords

Main Subjects

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### History

• Receive Date: 29 October 2016
• Revise Date: 24 February 2017
• Accept Date: 24 February 2017
• First Publish Date: 30 December 2017