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Approximation of subharmonic functions
Author(s):
I.
Chyzhykov
Translated by:
the author
Original publication:
Algebra i Analiz,
tom 16
(2004),
vypusk 3.
Journal:
St. Petersburg Math. J.
16
(2005),
591-607.
MSC (2000):
Primary 30A05;
Secondary 30D20, 30E10
Posted:
May 2, 2005
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References |
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Additional information
Abstract:
In certain classes of subharmonic functions  on  distinguished in terms of lower bounds for the Riesz measure of  , a sharp estimate is obtained for the rate of approximation by functions of the form  , where  is an entire function. The results complement and generalize those recently obtained by Lyubarskii and Malinnikova.
References:
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Additional Information:
I.
Chyzhykov
Affiliation:
Faculty of Mechanics and Mathematics, Ivan Franko National University, Lviv, Ukraine
Email:
tftj@franko.lviv.ua chyzh@lviv.farlep.net
DOI:
10.1090/S1061-0022-05-00867-8
PII:
S 1061-0022(05)00867-8
Received by editor(s):
12/MAY/2003
Posted:
May 2, 2005
Additional Notes:
Partially supported by the scholarship of the Queen Jadwiga Foundation, Jagellonian University (Kraków, Poland)
Copyright of article:
Copyright
2005,
American Mathematical Society
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