Abstract
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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© 2000 Springer Science+Business Media New York
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Hedenmalm, H., Korenblum, B., Zhu, K. (2000). The Bergman Spaces. In: Theory of Bergman Spaces. Graduate Texts in Mathematics, vol 199. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0497-8_1
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DOI: https://doi.org/10.1007/978-1-4612-0497-8_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6789-8
Online ISBN: 978-1-4612-0497-8
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