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Higher complex Sobolev spaces on complex manifolds
- Publication Year :
- 2024
-
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.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.06385
- Document Type :
- Working Paper