: Bergman Spaces (Mathematical Surveys & Monographs) ( ): Peter Duren, Alexander Schuster: Books. In complex analysis, functional analysis and operator theory, a Bergman space is a function .. –; ^ Duren, Peter L.; Gallardo-Gutiérez, Eva A.; Montes- Rodríguez, Alfonso (), A Paley-Wiener theorem for Bergman spaces with. Trove: Find and get Australian resources. Books, images, historic newspapers, maps, archives and more.

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Bergman spaces / Peter Duren, Alexander Schuster – Details – Trove

Author dureb Product display: Views Read Edit View history. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory.

Thus A p D is the subspace of holomorphic functions that are in the space L p D. The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis.

Online Price 3 Label: This page was last edited on 3 Februaryat Online Price 1 Label: You can help Wikipedia by expanding it. Print Price 1 Label: Publication Month and Year: It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: Mathematical Surveys and Monographs Volume: From Wikipedia, the free encyclopedia.


Advanced graduate students and research mathematicians interested in complex function theory and operator theory. Print Price 3 Label: This mathematical analysis —related article is a stub. Join our email list. In complex analysisfunctional analysis and operator theorya Bergman space 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.

Dual Price 1 Label: Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together.

Duren , Khavinson , Shapiro , Sundberg : Contractive zero-divisors in Bergman spaces.

Ordering on the AMS Bookstore is limited to individuals for personal use only. The weighted Bergman space A p D is defined in an analogous way, [1] i. The Bergman spaces are Banach spaceswhich is a diren of the estimate, valid on compact subsets K of D:.

Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergencespacrs so the limit function is also holomorphic. In weighted case we have [4].


Bergman Spaces

Peter Duren ; Alexander Schuster. In this book, the authors develop background material and provide a self-contained introduction to a broad range of topics, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces.

Complex analysis Functional analysis Operator theory Mathematical analysis stubs. By using this site, you agree to the Terms of Use and Privacy Policy. See our librarian page for additional eBook ordering options. Dual Price 2 Label: If the domain D is boundedthen the norm is often given by.

Online Price 2 Label: Bbergman Surveys and Monographs. In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.

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