An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics

Zhuo Liu

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arXiv · 2506.22840

An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics

Zhuo Liu

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Abstract

In this paper, we obtain an optimal $L^2$ extension theorem for continuous $L^2$-optimal Hermitian metric on bounded planer domains. As applications, we affirmatively answer a question of Deng-Ning-Wang and a question of Inayama.

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Zhuo Liu. 2025-06-28. An optimal $L^2$ extension for continuous $L^2$-optimal Hermitian metrics. https://arxiv.org/abs/2506.22840

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