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http://hdl.handle.net/2445/132716
Title: | Division and extension in weighted Bergman-Sobolev spaces |
Author: | Ortega Aramburu, Joaquín M. Fàbrega Casamitjana, Joan |
Keywords: | Espais de Sobolev Anàlisi funcional Sobolev spaces Functional analysis |
Issue Date: | 1992 |
Publisher: | Universitat Autònoma de Barcelona |
Abstract: | 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. |
Note: | Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT_362B92_08 |
It is part of: | Publicacions Matemàtiques, 1992, vol. 36, num. 2, p. 837-859 |
URI: | http://hdl.handle.net/2445/132716 |
Related resource: | https://doi.org/10.5565/PUBLMAT_362B92_08 |
ISSN: | 0214-1493 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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062208.pdf | 460.98 kB | Adobe PDF | View/Open |
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