Remarks on the Bohr and Rogosinski phenomena for power series

Lev Aizenberg

doi:10.1007/s13324-012-0024-7

Remarks on the Bohr and Rogosinski phenomena for power series

Lev Aizenberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

The following problems are discussed in this work. 1.Asymptotics of the majorant function in the Reinhardt domains in (Formula presented.) 2. The Bohr and Rogosinski radii for Hardy classes of functions holomorphic in the disk.3. Neither Bohr nor Rogosinski radius exists for functions holomorphic in an annulus, with natural basis.4. The Bohr and Rogosinski radii for the mappings of the Reinhardt domains into Reinhardt domains.

Original language	English
Pages (from-to)	69-78
Number of pages	10
Journal	Analysis and Mathematical Physics
Volume	2
Issue number	1
DOIs	https://doi.org/10.1007/s13324-012-0024-7
State	Published - 25 Mar 2012

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Publisher Copyright:
© 2012, Springer Basel AG.

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30D25
30E20

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10.1007/s13324-012-0024-7

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Remarks on the Bohr and Rogosinski phenomena for power series

Abstract

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Keywords

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