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On the equivalence of some operators related to the Pommiez operator
Linchuk Stepan Stepanovich 1 , Linchuk Yurii Stepanovych 2 , Simonovich Yu. І. 2
1 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
2 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: the Pommiez operator
Abstract
The conditions of equivalence perturbations of the operator of multiplication by the independent variable functions of the Pommiez operator in the spaces of functions analytic in the circular domains are established.
References

[1] Köthe G. Dualität in der Funktionentheorie // J. reine und angew. Math. - 1953. - 191 . - S. 30-49.

[2] Linchuk S.S. On the representation of linear continuous operators acting in spaces of analytic functions // Chernivtsi. - 1982.- Dep. in VINITI 13.04.82, № 1798-82 Dep.

[3] Linchuk S.S., Nagnibida N.I. On the equivalence of Pommier operators in the space of analytic in the circle functions // Sib. mat. zhurn. - 1990.- Vol. 80, № 1. - P.55-61.

[4] Nagnibida N. I. On the conditions of completeness of one system of integer functions and their application to Pommier operators // Matem. notes, 1991.  - P. 154-156.

[5] Linchuk N.E., Linchuk S.S. On the equivalence of first-order operators with respect to the Pommier operator // Scientific Bulletin of Chernivtsi University. Issue 111. Mathematics. Collection of scientific works. - Chernivtsi: Ruta, 2001.- P.66-69.

[6] Linchuk N.E., Linchuk S.S. On the equivalence of Pommier operators in the space of analytic functions in the domain // Scientific Bulletin of Chernivtsi University. Issue 134. Mathematics. Collection of scientific works. - Chernivtsi: Ruta, 2002.- P.61-64.

[7] Linchuk S.S., Linchuk Y.S. Operators in spaces of analytic functions. - Chernivtsi: Ruta. - 2011. - 148 p.

Cite
ACS Style
Linchuk, S.S.; Linchuk , Y.S.; Simonovich, Y.І. On the equivalence of some operators related to the Pommiez operator. Bukovinian Mathematical Journal. 2018, 2
AMA Style
Linchuk SS, Linchuk YS, Simonovich YІ. On the equivalence of some operators related to the Pommiez operator. Bukovinian Mathematical Journal. 2018; 2(1).
Chicago/Turabian Style
Stepan Stepanovich Linchuk, Yurii Stepanovych Linchuk , Yu. І. Simonovich. 2018. "On the equivalence of some operators related to the Pommiez operator". Bukovinian Mathematical Journal. 2 no. 1.
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