On the growth of a subharmonic function with Riesz' measure on a ray
Date
2004
Authors
Gol'dberg, A.
Ostrovskii, I.
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Source Title
Matematicheskaya Fizika, Analiz, Geometriya
Print ISSN
1027-1767
Electronic ISSN
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Volume
11
Issue
1
Pages
107 - 113
Language
English
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Abstract
We consider functions v subharmonic in Rn, n≥2, which are natural counterparts of Weierstrass canonical products (so-called Weierstrass canonical integrals). Under assumptions that the order of v is a noninteger number and the Riesz measure of v is supported by a ray we obtain sharp estimates of asymptotical behavior of v at infinity along rays.