: 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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Print 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.
Author s Product display: This page was last edited on 3 Februaryat Mathematical Surveys and Monographs. Print Price 3 Label: Dual Price 2 Label: Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the dren function is also holomorphic.
See our librarian page for additional eBook ordering options. The weighted Bergman space A p D is defined in an analogous way,  i. This thorough exposition provides just that. If the domain D is boundedthen the norm is often given by.
AMS :: Duren and Schuster: Bergman Spaces
Views Read Edit View history. It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions.
Additional Material for the Book
Mathematical Surveys and Monographs Volume: In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:.
Ordering on the AMS Bookstore is limited to individuals for personal use only. Thus A p D is the subspace of holomorphic functions that are in the space L p D.
From Wikipedia, the free encyclopedia. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. Bergman Spaces Share this page.
Bergman space – Wikipedia
Complex analysis Functional analysis Operator theory Mathematical analysis stubs. Retrieved from ” https: Online Price 2 Label: This mathematical analysis —related article is a stub. The book is accessible to suren and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: In complex analysisfunctional analysis and operator theorya Bergman space is a function space of holomorphic functions in a domain D brrgman the complex plane that are sufficiently well-behaved at the boundary that they are absolutely integrable.
Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. Advanced graduate students and research mathematicians interested in complex function theory and operator theory.
Join our email list. In weighted case we have .