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Classical Operators in Weighted Banach Spaces of Holomorphic Functions

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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.

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Authors and Affiliations

  1. Southern Federal University, Rostov-on-Don, Russia

    A. V. Abanin

  2. Southern Mathematical Institute of the Vladikavkaz Science Center of the Russian Academy of Sciences, Vladikavkaz, Russia

    A. V. Abanin

  3. Vietnam National University, Hanoi, Vietnam

    Pham Trong Tien

Authors
  1. A. V. Abanin
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  2. Pham Trong Tien
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Correspondence to A. V. Abanin.

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Abanin, A.V., Tien, P.T. Classical Operators in Weighted Banach Spaces of Holomorphic Functions. J Math Sci 241, 647–657 (2019). https://doi.org/10.1007/s10958-019-04452-1

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  • DOI: https://doi.org/10.1007/s10958-019-04452-1

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