Classical Operators in Weighted Banach Spaces of Holomorphic Functions

Classical Operators in Weighted Banach Spaces of Holomorphic Functions

We review recent results in the theory of classical operators (embedding, differentiation, and integration) in weighted Banach spaces of holomorphic functions with uniform estimates. We formulate and analyze results based on associated and essential weights.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2019-09, Vol.241 (6), p.647-657
Hauptverfasser: Abanin, A. V., Tien, Pham Trong
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Banach spaces
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
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Beschreibung
Zusammenfassung:We review recent results in the theory of classical operators (embedding, differentiation, and integration) in weighted Banach spaces of holomorphic functions with uniform estimates. We formulate and analyze results based on associated and essential weights.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-019-04452-1