Continuation of <Emphasis Type="Italic">L</Emphasis><Superscript>2</Superscript>-holomorphic functions

Let be a bounded domain in Cⁿ and let L²_h() be the L²-holomorphic functions on . We show that the envelope of holomorphy and the L²_h()-envelope of holomorphy of differ by at most a pluripolar set.Mathematics Subject Classification (2000): 32D10, 32A36, 32U30This article is based on work the author did during his Ph.D. studies at the University of Michigan under the supervision of John Erik Fornæss.