Zero sets of functions in the Nevanlinna class and the ∂_b-equation on convex domains of general type in ℂ²

2016/05/23 by Tran Vu Khanh, Khanh, Tran Vu, Andrew Raich +1
Mathematics · #32F10 #32F20 #32N15 #32T25 #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1605.06985

openalex publication_date 2016/05/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to characterize the zero sets of holomorphic functions in the Nevanlinna class on a class of convex domains of infinite type in ℂ². Moreover, we also obtain L^p estimates, 1 ≤ p ≤ ∞, for a particular solution of the tangential Cauchy-Riemann equation on the boundaries of these domains.

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