Korenblum constants for some function spaces

Korenblum constants for some function spaces

We study the Korenblum Maximum Principle on the weighted Fock spaces and the weighted Bergman spaces with exponential weights. First, we give explicit expressions for the upper bounds of Korenblum constants for the weighted Fock spaces. Then, we obtain upper bounds of such constants for the weighted...

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Bibliographic Details
Main Authors: Wee, Junjie, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2021
Subjects:
Science::Mathematics
Hardy Space
Bergman Space
Online Access:https://hdl.handle.net/10356/152023
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Institution: Nanyang Technological University
Language: English
Description
Summary:We study the Korenblum Maximum Principle on the weighted Fock spaces and the weighted Bergman spaces with exponential weights. First, we give explicit expressions for the upper bounds of Korenblum constants for the weighted Fock spaces. Then, we obtain upper bounds of such constants for the weighted Bergman spaces. Finally, we show a failure of the Korenblum Maximum Principle for weighted Bergman spaces Aᵖ (D), where 0 < p < 1, a > 0.

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