: 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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Dual Price 2 Label: Publication Month and Year: The subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory.
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Online Price 2 Label: Print Price 3 Label: Retrieved from ” https: Thus A p D is the subspace of holomorphic functions that are in the space L p D. 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. Advanced graduate students and research mathematicians interested in complex function theory and operator theory.
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Peter Duren ; Alexander Schuster. Thus convergence of a sequence of holomorphic functions in L p D implies also compact convergenceand so the limit function is also holomorphic.
The book is accessible to researchers and advanced graduate students who have studied basic complex function theory, measure theory, and functional analysis. 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.
Over the last ten years, the theory of Bergman spaces has undergone a remarkable metamorphosis. druen
Print Price 2 Label: Author s Product display: This thorough exposition provides just that. Mathematical Surveys and Monographs Volume: Print Price 1 Label: In a series of major advances, central problems once considered intractable were solved, and spacws rich theory emerged.
If the domain D is boundedthen the norm is often given by. It has much in common with Hardy spaces, but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D:.
Bergman Spaces Share this page. The Bergman spaces are Banach spaceswhich is a consequence of the estimate, valid on compact subsets K of D: Dual Price 1 Label: 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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