BERGMAN SPACES DUREN PDF

Libraries and resellers, please contact cust-serv ams. See our librarian page for additional eBook ordering options. Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged. Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together. This thorough exposition provides just that.

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We use cookies to give you the best possible experience. By using our website you agree to our use of cookies. Dispatched from the UK in 2 business days When will my order arrive? Octav Cornea. Charalambos D. Stephen Lipscomb.

Jan Maly. Edward Frenkel. John Locker. Lajos Pukanszky. Michael Aschbacher. Hiroyuki Yoshida. Daniel Gorenstein. Boris A. Michael Eugene Taylor. Laszlo Fuchs. Lindsay Childs. Yu Il'yashenko. Peter L. John B. Carmen Chicone. Home Contact us Help Free delivery worldwide. Free delivery worldwide. Bestselling Series.

Harry Potter. Popular Features. Home Learning. Bergman Spaces. Description Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis.

In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged. Although progress continues, the time seems ripe for a full and unified account of the subject, weaving the old and new results together. This thorough exposition provides just that. The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory.

It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. 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 book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. Product details Format Hardback pages Dimensions Other books in this series. Lusternik-Schnirelmann Category Octav Cornea. Add to basket. Symmetric Inverse Semigroups Stephen Lipscomb.

Taming Wild Extensions Lindsay Childs. Nonlocal Bifurcations Yu Il'yashenko. Bergman Spaces Peter L. Table of contents Overview The Bergman kernel function Linear space properties Analytic properties Zero-sets Contractive zero-divisors Sampling and interpolation Proofs of sampling and interpolation theorems Invariant subspaces Structure of invariant subspaces References Index.

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Bergman space

In complex analysis , functional analysis and operator theory , a 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. Thus A p D is the subspace of holomorphic functions that are in the space L p D. The Bergman spaces are Banach spaces , which is a consequence of the estimate, valid on compact subsets K of D :. Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergence , and so the limit function is also holomorphic. If the domain D is bounded , then the norm is often given by. The weighted Bergman space A p D is defined in an analogous way, [1] i.

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Bergman Spaces

Bergman Spaces. Peter L. Duren , Alexander Schuster. Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. In a series of major advances, central problems once considered intractable were solved, and a rich theory emerged.

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