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arXiv · 2405.06385

Higher complex Sobolev spaces on complex manifolds

Thai Duong Do·Duc-Bao Nguyen
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Abstract

We study higher complex Sobolev spaces and their corresponding functional capacities. In particular, we prove the Moser-Trudinger inequality for these spaces and discuss some relationships between these spaces and the complex Monge-Amp\`{e}re equation.

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Thai Duong Do, Duc-Bao Nguyen. 2024-05-10. Higher complex Sobolev spaces on complex manifolds. https://arxiv.org/abs/2405.06385

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