Paley problem for plurisubharmonic functions of finite lower order
Journal Article
·
· Sbornik. Mathematics
- Bashkir State University, Ufa (Russian Federation)
For plurisubharmonic functions C{sup n} of lower order {lambda}<+{infinity} estimates of the growth of their maximum value on the sphere of radius r with centre at the origin in terms of the growth of the Nevanlinna characteristics T(r,u) are obtained. These estimates are best possible for {lambda}{<=}1. The results are new even in the case of functions of the form u= log |f|, where f is an entire function in C{sup n}, n>1.
- OSTI ID:
- 21202846
- Journal Information:
- Sbornik. Mathematics, Vol. 190, Issue 2; Other Information: DOI: 10.1070/SM1999v190n02ABEH000387; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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