Equivalence of two generalized integration operators in the space of analytic functions
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
equivalence, generalized integration operators
Abstract
The necessary and sufficient conditions of similarity of two Gelfond-Leontiev integration operators in the spaces of all analytic in the starlike with respect to zero domains of the complex plane are obtained.
References
[1] Zvozdetskyi T.I., Linchuk S.S. On the equivalence of generalized differentiation operators in sequence spaces / / Nauk. visn. Chernivtsi University. Issue 76. Mathematics. - 2000. - P.42-43.
[2] Linchuk N.E. Representation of commutators of the generalized integration operator Gelfond-Leontiev // News of universities. Mathematics. - 1985. - N 5. - P.72-74.
Cite
- ACS Style
- Zvozdetskyi, T.I. Equivalence of two generalized integration operators in the space of analytic functions. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Zvozdetskyi TI. Equivalence of two generalized integration operators in the space of analytic functions. Bukovinian Mathematical Journal. 2018; 1(160).
- Chicago/Turabian Style
- Taras Ivanovych Zvozdetskyi. 2018. "Equivalence of two generalized integration operators in the space of analytic functions". Bukovinian Mathematical Journal. 1 no. 160.
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