: 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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This page was last edited on 3 Februaryat In this book, the authors develop background material and provide a self-contained introduction to a durne range of topics, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces.

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Join our email list. In complex analysisfunctional analysis and operator theorya Bergman space is a function space of holomorphic functions in beryman domain D of the complex plane that are sufficiently well-behaved at the boundary that they are absolutely integrable.

The weighted Bergman space A p D is defined in an analogous way, [1] i. Publication Month and Year: Bergman Spaces Share this page. Dual Price 1 Label: Advanced graduate students and research mathematicians interested in complex function theory and operator theory. The book is accessible to researchers and advanced graduate students who have studied basic complex function spades, measure theory, and functional analysis. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: This mathematical analysis —related article is a stub.


Bergman Spaces

In weighted case we have [4]. Although progress continues, the time seems ripe for a full and unified account of the subject, weaving dureh old and new results together. Mathematical Surveys and Monographs.

Online Duen 1 Label: It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. Ordering on the AMS Bookstore is limited to individuals for personal use only. Complex analysis Functional analysis Operator theory Mathematical analysis stubs.

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From Wikipedia, the free encyclopedia. Online Price 3 Label: Dual Price 2 Label: Mathematical Surveys and Monographs Volume: In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.

The subject of Bergman spaces is a masterful blend of complex function theory with functional dureh and operator theory. Views Read Edit View history. Author s Product display: Print Price 3 Label: You can help Wikipedia by expanding it.


Print Price 1 Berman Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. If the domain D is boundedthen the norm is often given by.

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

This thorough exposition provides just that. Thus convergence of a sequence of holomorphic functions in L p D implies also berrgman convergenceand so the limit function is also holomorphic.

Online Price 2 Label: Peter Duren ; Alexander Schuster. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:. Print Price 2 Label: Libraries and resellers, please contact cust-serv ams.

Thus A p D is the subspace of holomorphic functions that are in the space L p D. Retrieved from ” https: