: 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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In weighted case we have . This page was last edited on 3 Februaryat Print Price 3 Label: Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic. Author s Product display: You can help Wikipedia by expanding it. The Bergman bergjan are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of Spacess.
Retrieved from ” https: Online Price 1 Label: 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. Views Read Edit View history. This thorough exposition provides just that. It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions.
Bergman space – Wikipedia
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AMS :: Duren and Schuster: Bergman Spaces
Mathematical Surveys and Monographs Volume: Publication Month and Year: Complex analysis Functional analysis Operator theory Mathematical analysis stubs. 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 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.
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Online Begman 2 Label: The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: If the domain D is boundedthen the norm is often given by.
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Dual Price hergman Label: Dual Price 1 Label: The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. Bergman Spaces Share this page. The weighted Bergman space A p D is defined in an analogous way,  i.