Bergman space

id: bergman-space-281-9056417
title: Bergman space
text: In complex analysis, functional analysis and operator theory, a Bergman space, named after Stefan Bergman, 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. Specifically, for 0 < p < ∞, the Bergman space Ap(D) is the space of all holomorphic functions f in D for which the p-norm is finite: The quantity ‖ f ‖ A p is called the norm of the function f; it is a true norm if p ≥ 1 . T
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Bergman_space
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date modified: 2023-09-06T01:08:12Z
main entity: {"identifier":"Q3058183","url":"https://www.wikidata.org/entity/Q3058183"}
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integrity: 13

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