Bergman Space
المؤلف:
Hedenmalm, H.; Korenblum, B.; and Zhu, K
المصدر:
Theory of Bergman Spaces. New York: Springer-Verlag, 2000.
الجزء والصفحة:
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4-7-2021
2024
Bergman Space
Let 
be an open subset of the complex plane 
, and let 
denote the collection of all analytic functions 
whose complex modulus is square integrable with respect to area measure. Then 
, sometimes also denoted 
, is called the Bergman space for 
. Thus, the Bergman space consists of all the analytic functions in 
. The Bergman space can also be generalized to 
, where 
.
REFERENCES:
Hedenmalm, H.; Korenblum, B.; and Zhu, K. Theory of Bergman Spaces. New York: Springer-Verlag, 2000.
Shields, A. L. "Weighted Shift Operators and Analytic Function Theory." In Topics in Operator Theory (Ed. C. Pearcy). Providence, RI: Amer. Math. Soc., pp. 49-128, 1979.
Zhu, K. Operator Theory in Function Spaces. New York: Dekker, 1990.
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