Global solvability and regularity for on an annulus between two weakly pseudoconvex domains

Author:
Mei-Chi Shaw

Journal:
Trans. Amer. Math. Soc. **291** (1985), 255-267

MSC:
Primary 32F20; Secondary 35B65, 35N15

DOI:
https://doi.org/10.1090/S0002-9947-1985-0797058-3

MathSciNet review:
797058

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Abstract: Let and be two bounded pseudo-convex domains in with smooth boundaries such that . We consider the Cauchy-Riemann operators on the annulus . The main result of this paper is the following: Given a -closed form , , which is on and which is cohomologous to zero on , there exists a form which is on such that .

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DOI:
https://doi.org/10.1090/S0002-9947-1985-0797058-3

Article copyright:
© Copyright 1985
American Mathematical Society