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Israel Journal of Mathematics

, Volume 54, Issue 3, pp 366–380 | Cite as

On subharmonic functions dominated by certain functions

  • H. Yoshida
Article

Abstract

Given two kinds of functionsf(X) andh(y) defined on them-dimensional Euclidean spaceR m (m≧1) and the set of positive real numbers respectively, we give an estimation of growth of subharmonic functionsu(P) defined onR m+n (n≧1) such that
$$u(P) \leqq f\left( X \right)h\left( {\left\| Y \right\|} \right)$$
for anyP=(X, Y),XR m, Y ∈R n, where ‖Y ‖ denotes the usual norm ofY. Using an obtained result, we give a sharpened form of an ordinary Phragmén-Lindelöf theorem with respect to the generalized cylinderD ×R n, with a bounded domainD inR m.

Keywords

Positive Real Number Subharmonic Function Regular Domain Sharpened Form Chiba City 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1986

Authors and Affiliations

  • H. Yoshida
    • 1
  1. 1.Department of Mathematics, Faculty of SciencesChiba UniversityChiba CityJapan

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