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- Bergman_space abstract "In complex analysis, a branch of mathematics, a Bergman space, named after Stefan Bergman, is a function space of holomorphic functions in a domain D of the complex plane that are sufficiently well-behaved at the boundary that they are absolutely integrable. Specifically, is the space of holomorphic functions in D such that the p-normThus is the subspace of holomorphic functions that are in the space Lp(D). The Bergman spaces are Banach spaces, which is a consequence of the estimate, valid on compact subsets K of D:</dl>Thus convergence of a sequence of holomorphic functions in Lp(D) implies also compact convergence, and so the limit function is also holomorphic.If p = 2, then is a reproducing kernel Hilbert space, whose kernel is given by the Bergman kernel.".
- Bergman_space wikiPageExternalLink 978-0-387-98791-0.
- Bergman_space wikiPageID "3205927".
- Bergman_space wikiPageRevisionID "570386618".
- Bergman_space first "Stefan".
- Bergman_space hasPhotoCollection Bergman_space.
- Bergman_space id "B/b120130".
- Bergman_space last "Richter".
- Bergman_space title "Bergman spaces".
- Bergman_space subject Category:Complex_analysis.
- Bergman_space comment "In complex analysis, a branch of mathematics, a Bergman space, named after Stefan Bergman, is a function space of holomorphic functions in a domain D of the complex plane that are sufficiently well-behaved at the boundary that they are absolutely integrable. Specifically, is the space of holomorphic functions in D such that the p-normThus is the subspace of holomorphic functions that are in the space Lp(D).".
- Bergman_space label "Bergman space".
- Bergman_space label "Espace de Bergman".
- Bergman_space sameAs Espace_de_Bergman.
- Bergman_space sameAs m.07kj10z.
- Bergman_space sameAs Q3058183.
- Bergman_space sameAs Q3058183.
- Bergman_space wasDerivedFrom Bergman_space?oldid=570386618.
- Bergman_space isPrimaryTopicOf Bergman_space.