A. V. Abanin, Ph. T. Tien, “Classical operators in weighted Banach spaces of holomorphic functions”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017, Volume 142,Pages <nobr>3

Classical operators in weighted Banach spaces of holomorphic functions

A. V. Abanin^ab, Ph. T. Tien^c

^a Southern Federal University, Rostov-on-Don
^b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
^c Vietnam National University, Hanoi, Vietnam

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.

Keywords: weighted Banach spaces of holomorphic functions, embedding operator, differentiation operator, integration operator.

UDC: 517.547, 517.982

MSC: 47B38, 46E15