International Journal of Mathematics and Mathematical Sciences

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International Journal of Mathematics and Mathematical Sciences / 2002 / Article

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Volume 29 |Article ID 131462 | 8 pages | https://doi.org/10.1155/S0161171202007366

Sobolev cohomology for locally polycylindrical domains

Patrick W. Darko1

1Department of Mathematics and Computer Science, Lincoln University of the Commonwealth of Pennsylvania, 1570 Old Baltimore Pike, USA

Received13 Apr 2001

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.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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