: 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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Dual Price 2 Label: Print Price 3 Label: Peter Duren ; Alexander Schuster. Views Read Edit View history.

Retrieved from ” https: The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:. Mathematical Surveys and Monographs. Online Price 2 Label: In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.

Bergman Spaces

Ordering on the AMS Bookstore is limited to individuals for personal use only. Spcaes has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions.

Dual Price 1 Label: 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.


Online Price 1 Label: This mathematical analysis —related article is a stub.

Thus A p D is the subspace of holomorphic functions that are in the space L p D. Libraries and resellers, please contact cust-serv ams. In complex analysisfunctional analysis and operator theorya Bergman space is a function space bergmsn holomorphic functions in a domain D of the complex plane that are sufficiently well-behaved at the boundary that they are absolutely integrable.

Print Price 1 Label: Complex analysis Functional analysis Operator theory Mathematical analysis stubs. The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. This thorough exposition provides just that.

Bergman space – Wikipedia

Publication Month and Year: See our librarian page for additional eBook ordering options. Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic.

You can help Wikipedia by expanding it. Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together. Slaces Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: Bergman Spaces Share this page. Advanced graduate students and research mathematicians interested in complex function theory and operator theory.


Mathematical Surveys and Monographs Volume: This gergman was last edited on 3 Februaryat Print Price 2 Label: Online Price 3 Label: Author s Product display: From Wikipedia, the free encyclopedia.

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

Join our email list. If the domain D is boundedthen the norm is often given by. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. In weighted case we have [4].

Bergman space

Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. The weighted Bergman space A p D is defined in an analogous way, [1] i. By using this site, you agree to the Terms of Use and Privacy Policy.