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Global $L^2$ Approximation in the Bergman Spaces with Values in Holomorphic Vector Bundles

Year: 2026

Type: preprint

Abstract: In this paper, we get global $L^2$ approximation theorems in Bergman spaces with values in singular holomorphic vector bundles over Stein manifolds generalizing results of Li and Zhou. The main results combine strong openness property of multiplier submodule sheaf and twisted $L^2$ estimates of $\bar\partial$-equations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.28273

Authors: Xiao, Bo, Yu, Tianlong

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7223124952

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