Title:
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Division and extension in weighted Bergman-Sobolev spaces
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Author:
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Ortega Aramburu, Joaquín M.; Fàbrega Casamitjana, Joan
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Other authors:
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Universitat de Barcelona |
Abstract:
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Let D be a bounded strictly pseudoconvex domain of Cn with C 8 boundary and Y = {z; u1(z) = ... = ul(z) = 0} a holomorphic submanifold in the neighbourhood of D', of codimension l and transversal to the boundary of D. In this work we give a decomposition formula f = u1f1 + ... + ulfl for functions f of the Bergman-Sobolev space vanishing on M = Y n D. Also we give necessary and sufficient conditions on a set of holomorphic functions {fa}|a|=m on M, so that there exists a holomorphic function in the Bergman-Sobolev space such that Daf |M = fa for all |a| = m. |
Subject(s):
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-Espais de Sobolev -Anàlisi funcional -Sobolev spaces -Functional analysis |
Rights:
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(c) Universitat Autònoma de Barcelona, 1992
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Document type:
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Article Article - Published version |
Published by:
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Universitat Autònoma de Barcelona
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