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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 4, Pages 187-194
doi:10.1155/S0161171202007366

Sobolev cohomology for locally polycylindrical domains

Patrick W. Darko

Department of Mathematics and Computer Science, Lincoln University of the Commonwealth of Pennsylvania, 1570 Old Baltimore Pike, Lincoln University 19352, PA, USA

Abstract

The Cauchy-Riemann equation is solved with LP-Sobolev space estimates and the result is used to obtain vanishing theorems on locally polycylindrical domains.