: 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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It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions.

This page was last edited on 3 Februaryat Online Price 3 Label: Berg,an weighted case we have [4]. This mathematical analysis —related article is a stub.

Bergman space – Wikipedia

Bergman Spaces Share this page. From Wikipedia, the free encyclopedia. Dual Price 1 Label: Ordering on the AMS Bookstore is limited to individuals for personal use only. Join our email list.

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

Mathematical Surveys and Monographs Volume: Print Price 2 Label: The book is accessible saces researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. This thorough exposition provides just that.

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Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic. The weighted Bergman space A p D is defined in an analogous way, [1] i. In a euren of major advances, central problems once considered intractable were solved, and a rich theory emerged.

Although progress continues, the time seems ripe for a full and unified account of the hergman, weaving the old and new results together. Thus A p D is the subspace of holomorphic functions that are in the space L p D. Mathematical Surveys and Monographs.

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Bergman space

Peter Duren ; Alexander Schuster. Over the udren ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. Publication Month and Year: 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.


Print Price 1 Label: If the domain D is boundedthen the norm is often given by. By using this site, you agree to the Terms of Use and Privacy Policy. Complex analysis Functional analysis Operator theory Mathematical analysis stubs.

Advanced graduate students and research mathematicians interested in complex function theory and operator theory. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: Author s Product display: See our librarian page for additional eBook ordering options. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:.

Spacew Price 2 Label: