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Higher complex Sobolev spaces on complex manifolds
Speaker: Đỗ Thái Dương

Time: 9:00, Wednesday, November 20, 2024

Venue: 5th floor, A6 Building

Abstract: We will present some properties of the higher complex Sobolev spaces. These spaces share several similar properties with the complex Sobolev space; in particular, we can build their corresponding Vigny's functional capacity and prove the Moser-Trudinger inequality for these spaces. We also discuss the relation of these spaces with the complex Monge-Ampère equation. This talk is based on my joint work with Nguyen Duc-Bao.

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