Sobolev cohomology for locally polycylindrical domains
The author proves a vanishing theorem for the cohomology with values in the sheaf of holomorphic functions which are in some Sobolev spaces on what he calls a locally polycylindrical domain in \(\mathbb{C}^n\); the method is practically the same as that of previous work of the author [Rend. Mat., VI. Ser. 12, No. 3-4, 587-596 (1979; Zbl 0454.32018)] where he considered the sheaf of germs of bounded holomorphic functions on the closure of a polycylinder.
locally polycylindrical domain in \(\mathbb{C}^n\)
scientific article; zbMATH DE number 1780332
scientific article