: 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 space – Wikipedia
This thorough exposition provides just that. Bergman Spaces Share this page. Print Price 3 Label: Mathematical Surveys and Monographs Volume: Dual Price 2 Label: Online Price 3 Label: Complex analysis Functional analysis Operator theory Mathematical analysis stubs. Advanced graduate students and research mathematicians furen in complex function theory and operator theory.
druen See our librarian page for additional eBook ordering options. Online Price 1 Label: The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:.
In weighted case we have . Libraries and resellers, please contact cust-serv ams.
AMS :: Duren and Schuster: Bergman Spaces
The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. Publication Month and Year: 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.
Print Price 2 Label: This page was last edited on 3 Februaryat Views Read Edit View history.
This mathematical analysis —related article is a stub. The weighted Bergman space A p D is defined in an analogous way,  i. 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.
The Bergman spaces are Saces spaceswhich is a consequence of the estimate, valid on compact subsets K of D: From Wikipedia, the free encyclopedia. Thus A p D is the subspace of holomorphic functions that are in the space L p D.
It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing sspaces, and biharmonic Green functions. Author s Product display: Mathematical Surveys and Monographs.
Retrieved from ” https: Peter Duren ; Alexander Schuster. Dual Price 1 Label: Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. Online Price 2 Label: The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. You can help Wikipedia by expanding it.
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If the domain D is boundedthen the norm is often given by. Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic.
In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.