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The Bergman Spaces

H. Hedenmalm, B. Korenblum, Kehe Zhu
Published 2000 · Mathematics

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In this chapter we introduce the Bergman spaces and concentrate on the general aspects of these spaces. Most results are concerned with the Banach (or metric) space structure of Bergman spaces. Almost all results are related to the Bergman kernel. The Bloch space appears as the image of the bounded functions under the Bergman projection, but it also plays the role of the dual space of the Bergman spaces for small exponents (0 < p ≤ 1).



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