Tojarisar Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. Online Price 1 Label: This thorough exposition provides just that. In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged. From Wikipedia, the free encyclopedia. This page was last edited on 3 Februaryat Print Price 2 Label: This mathematical analysis —related article is a stub. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory.
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Kajas 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.
Publication Month and Year: 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. From Wikipedia, berfman free encyclopedia. Mathematical Surveys and Monographs Volume: 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. Complex analysis Functional analysis Operator theory Mathematical analysis stubs. Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic.
Advanced graduate students and research mathematicians interested in complex function theory and operator theory. Libraries and resellers, please contact cust-serv ams. Bergman Spaces Share this page. It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. Author s Product display: You can help Wikipedia by expanding it.
See our librarian page for additional eBook ordering options. Join our email list. The weighted Bergman space A p D is defined in an analogous way,  i. Bergman Spaces In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.
If the domain D is boundedthen the norm is often given by. The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis.
Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together.
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