Sobolev space estimates for solutions of the equation ∂ ¯ u = f on polycylinders

Patrick W. Darko and Clement H. Lutterodt

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-6

Abstract:

In trying to improve Weinstock's results on approximation by holomorphic functions on certain product domains, we are led to estimates in Sobolev spaces for the ∂ ¯ -operator on polycylinders for ( γ , q ) -forms. This generalizes our results for the same operator on polycylinders previously obtained, and can be applied to a number of other problems such as the Corona problem.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:648039

DOI: 10.1155/S0161171204308197

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