Approximation of subharmonic functions
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I. Chyzhykov
Translated by: the author - St. Petersburg Math. J. 16 (2005), 591-607
- DOI: https://doi.org/10.1090/S1061-0022-05-00867-8
- Published electronically: May 2, 2005
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Abstract:
In certain classes of subharmonic functions $u$ on $\mathbb C$ distinguished in terms of lower bounds for the Riesz measure of $u$, a sharp estimate is obtained for the rate of approximation by functions of the form $\log |f(z)|$, where $f$ is an entire function. The results complement and generalize those recently obtained by Lyubarskiĭ and Malinnikova.References
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Bibliographic Information
- I. Chyzhykov
- Affiliation: Faculty of Mechanics and Mathematics, Ivan Franko National University, Lviv, Ukraine
- Email: tftj@franko.lviv.ua\newline\indent{\it E-mail address\/}:\enspace chyzh@lviv.farlep.net
- Received by editor(s): May 12, 2003
- Published electronically: May 2, 2005
- Additional Notes: Partially supported by the scholarship of the Queen Jadwiga Foundation, Jagellonian University (Kraków, Poland)
- © Copyright 2005 American Mathematical Society
- Journal: St. Petersburg Math. J. 16 (2005), 591-607
- MSC (2000): Primary 30A05; Secondary 30D20, 30E10
- DOI: https://doi.org/10.1090/S1061-0022-05-00867-8
- MathSciNet review: 2083571