: 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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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.

## Additional Material for the Book

Retrieved from ” https: Advanced graduate students and research mathematicians interested in complex function theory and operator theory. 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. Online Price 3 Label: Peter Duren ; Alexander Schuster. Views Read Edit View history. Complex analysis Functional analysis Operator theory Mathematical analysis stubs.

See our librarian page for additional eBook ordering options. 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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### AMS :: Duren and Schuster: Bergman Spaces

Thus A p D is the subspace of holomorphic functions that are in the space L p D. In complex analysisfunctional analysis and operator theorya 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.

The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: Join our email list.

Dual Price 2 Label: Online Price 2 Label: Author s Product display: In weighted case we have [4]. If the domain D is boundedthen the norm is often given by. Ordering on the AMS Bookstore is limited to individuals for personal use only. It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. Mathematical Surveys and Monographs Volume: The weighted Bergman space A p D is defined in an analogous way, [1] i.

Mathematical Surveys and Monographs.

### Bergman space – Wikipedia

Print Price 1 Label: By using this site, you agree to the Terms of Use and Privacy Policy. The book is accessible to researchers 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:. You can help Wikipedia by expanding it.

## Bergman space

Print Price 3 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 spacces, contractive zero-divisors, and invariant subspaces. Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic.

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