Interpolation along manifolds in Hardy-Sobolev spaces |
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| Authors: | J. Bruna J. M. Ortega |
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| Affiliation: | (1) Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain;(2) Departament de Matemàtica Aplicada i Anàlsi, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain |
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| Abstract: | Traces of submanifolds of the sphere of Hardy-Sobolev spaces in the unit ball of ℂ n are studied. A complete characterization is obtained, in terms of Besov-type spaces of jets, for complex-tangential submanifolds. Similar results for Bergman-Sobolev spaces are also given. Supported by DGICYT grant PB95-0956-C02-02 and CIRIT grant 1996SGR00026, Spain. |
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| Keywords: | KeywordHeading" >Math Subject Classification 32A35 32A40 42B25 42B30 |
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