One representation of linear continuous operators acting in spaces of analytic functions

Zvozdetskyi Taras Ivanovych; Linchuk Stepan Stepanovich

Zvozdetskyi Taras Ivanovych 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: linear continuous operators, analytic functions

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Abstract

We establish an one-to-one correspondence between a class of analytic functions of two variables and the set of all linear continues operators T:A(G1)→A(G2)" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> $T : A (G 1) \to A (G 2) �:�(�1)\to�(�2)$ , where G1" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> ${G 1} �1$ is a ϱ" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;"> $ϱ �$ -convex domain and

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Cite

ACS Style: Zvozdetskyi, T.I.; Linchuk, S.S. One representation of linear continuous operators acting in spaces of analytic functions. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Zvozdetskyi TI, Linchuk SS. One representation of linear continuous operators acting in spaces of analytic functions. Bukovinian Mathematical Journal. 2018; 1(314).
Chicago/Turabian Style: Taras Ivanovych Zvozdetskyi, Stepan Stepanovich Linchuk. 2018. "One representation of linear continuous operators acting in spaces of analytic functions". Bukovinian Mathematical Journal. 1 no. 314.

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