: 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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If the domain D is boundedthen the norm is often given by. Online Price 3 Label: This mathematical analysis —related article is a stub.
The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:. Dual Price 2 Label: Print Price 2 Label: Ordering on the AMS Bookstore is limited to individuals for personal use only.
Over the last ten years, durren theory of Bergman spaces has undergone a remarkable metamorphosis.
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.
You can help Wikipedia by expanding it. Dual Price 1 Label: It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. Mathematical Surveys and Monographs. In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.
Print Price 1 Label: In weighted case we have .
Bergman space – Wikipedia
Libraries and resellers, please contact cust-serv ams. Advanced graduate students and research mathematicians interested in complex function theory and operator theory.
Bergman Spaces Share this page. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, bsrgman on compact subsets K of D: Thus A p D is the subspace of holomorphic functions that are in the space L p D.
Views Read Edit View history. 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.
Bergman spaces / Peter Duren, Alexander Schuster – Details – Trove
The weighted Bergman space A p Hergman is defined in an analogous way,  i. See our librarian page for additional eBook ordering options. Join our email list. Peter Duren ; Alexander Schuster.
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Mathematical Surveys and Monographs Volume: Publication Month and Year: Online Price 2 Label: This page was last edited on 3 Februaryat Online Price 1 Label: The book is accessible to researchers and advanced graduate students who have spaxes basic complex function theory, measure theory, and functional analysis.
Author s Product display: Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together.
Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic.
From Wikipedia, the free encyclopedia. Print Price 3 Label: Retrieved from ” https: 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 bsrgman they are absolutely integrable.