PreprintCC BY 4.0arXiv
Global L2 Approximation in the Bergman Spaces with Values in Holomorphic Vector Bundles
Abstract
In this paper, we get global L2 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 L2 estimates of ∂̅-equations.
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BibTeX
@misc{xiao2026global,
title = {{Global $L^2$ Approximation in the Bergman Spaces with Values in Holomorphic Vector Bundles}},
author = {Bo Xiao and Tianlong Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28273},
eprint = {2610.28273},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28273},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Global L^2 Approximation in the Bergman Spaces with Values in Holomorphic Vector Bundles
AU - Bo Xiao
AU - Tianlong Yu
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28273
UR - https://arxiv.org/abs/2610.28273
AB - 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 ∂̅-equations.
ER -