Перейти до основного вмісту
On the equivalence of first-order operators with respect to the Pommier operator
Linchuk Nadiya Evgenivna 1 , Linchuk Stepan Stepanovich 2
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords: the equivalence of operators, the Pommier operator
Abstract

The criterion of equivalence of a common Pomme operator of the first order and Pomme operator in space of functions, analytical in arbitrary areas is obtained.

References

[1] Linchuk S.S., Nagnibida N.I. On the equivalence of Pommiez operators in the space of functions analytic in a disk// Sib. mat. jour. – 1990. – 31, N3. – P. 55–61.

[2] Linchuk S.S. On the representation of linear continuous operators acting in spaces of analytic functions. – M., 1982.–37 pp. – Dep. in VINITI, N 1798.

[3] Nagnibida N.I. On the conditions for the completeness of a system of entire functions and their application to Pommiez operators // Mat. notes. – 1991. – 49, issue 1. – P. 154–156.

[4] Köthe G. Dualität in der Funktionentheorie// J. reine und angew. Math. –1953. – 191. – P.30–49.

[5] Linchuk N.E., Linchuk S.S. On a class of operator equations in analytic spaces // Ukr. mat. zhurn. – 1983. – 35, N4. – P.510–515.

[6] Linchuk N.E. Representation of commutators of the Pommiez operator and their applications // Mat. notes. – 1988. – 6, issue 44. – P.794–802.

[7] Privalov I.I. Introduction to the theory of functions of a complex variable. – M. Nauka, 1967. – 444 p.

Cite
ACS Style
Linchuk, N.E.; Linchuk, S.S. On the equivalence of first-order operators with respect to the Pommier operator. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Linchuk NE, Linchuk SS. On the equivalence of first-order operators with respect to the Pommier operator. Bukovinian Mathematical Journal. 2018; 1(111).
Chicago/Turabian Style
Nadiya Evgenivna Linchuk, Stepan Stepanovich Linchuk. 2018. "On the equivalence of first-order operators with respect to the Pommier operator". Bukovinian Mathematical Journal. 1 no. 111.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings