Email this article Classical Operators in Weighted Banach Spaces of Holomorphic Functions
- Authors: Abanin A.V.1,2, Tien P.T.3
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Affiliations:
- Southern Federal University
- Southern Mathematical Institute of the Vladikavkaz Science Center of the Russian Academy of Sciences
- Vietnam National University
- Issue: Vol 241, No 6 (2019)
- Pages: 647-657
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242929
- DOI: https://doi.org/10.1007/s10958-019-04452-1
- ID: 242929
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Abstract
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.
About the authors
A. V. Abanin
Southern Federal University; Southern Mathematical Institute of the Vladikavkaz Science Center of the Russian Academy of Sciences
Author for correspondence.
Email: abanin@math.sfedu.ru
Russian Federation, Rostov-on-Don; Vladikavkaz
Pham Trong Tien
Vietnam National University
Email: abanin@math.sfedu.ru
Viet Nam, Hanoi
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