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Domination in the Bergman Space and Korenblum’s Constant

✍ Scribed by Chunjie Wang

Publisher: SP Birkhäuser Verlag Basel
Year: 2008
Tongue: English
Weight: 140 KB
Volume: 61
Category: Article
ISSN: 0378-620X
DOI: 10.1007/s00020-008-1587-4

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## Abstract Let __A__^__p__^ (𝔻) (__p__ ≥ 1) be the Bergman space over the open unit disk 𝔻 in the complex plane. Korenblum's maximum principle states that there is an absolute constant __c__ ∈ (0, 1) (may depend on __p__), such that whenever |__f__ (__z__)| ≤ |__g__ (__z__)| (__f__, __g__ ∈ __A__^

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