dc.contributor.author
Ortega Aramburu, Joaquín M.
dc.contributor.author
Fàbrega Casamitjana, Joan
dc.date.issued
2019-05-06T09:43:33Z
dc.date.issued
2019-05-06T09:43:33Z
dc.date.issued
2019-05-06T09:43:33Z
dc.identifier
https://hdl.handle.net/2445/132716
dc.description.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.
dc.format
application/pdf
dc.format
application/pdf
dc.publisher
Universitat Autònoma de Barcelona
dc.relation
Reproducció del document publicat a: https://doi.org/10.5565/PUBLMAT_362B92_08
dc.relation
Publicacions Matemàtiques, 1992, vol. 36, num. 2, p. 837-859
dc.relation
https://doi.org/10.5565/PUBLMAT_362B92_08
dc.rights
(c) Universitat Autònoma de Barcelona, 1992
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Espais de Sobolev
dc.subject
Anàlisi funcional
dc.subject
Sobolev spaces
dc.subject
Functional analysis
dc.title
Division and extension in weighted Bergman-Sobolev spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
