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Title: Paley problem for plurisubharmonic functions of finite lower order

Abstract

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.

Authors:
 [1]
  1. Bashkir State University, Ufa (Russian Federation)
Publication Date:
OSTI Identifier:
21202846
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 190; Journal Issue: 2; Other Information: DOI: 10.1070/SM1999v190n02ABEH000387; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FUNCTIONS; MATHEMATICAL LOGIC; SPHERES

Citation Formats

Khabibullin, B N. Paley problem for plurisubharmonic functions of finite lower order. United States: N. p., 1999. Web. doi:10.1070/SM1999V190N02ABEH000387; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Khabibullin, B N. Paley problem for plurisubharmonic functions of finite lower order. United States. https://doi.org/10.1070/SM1999V190N02ABEH000387; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)
Khabibullin, B N. 1999. "Paley problem for plurisubharmonic functions of finite lower order". United States. https://doi.org/10.1070/SM1999V190N02ABEH000387; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202846,
title = {Paley problem for plurisubharmonic functions of finite lower order},
author = {Khabibullin, B N},
abstractNote = {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.},
doi = {10.1070/SM1999V190N02ABEH000387; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
url = {https://www.osti.gov/biblio/21202846}, journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 2,
volume = 190,
place = {United States},
year = {Sun Feb 28 00:00:00 EST 1999},
month = {Sun Feb 28 00:00:00 EST 1999}
}