Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions-Reference-Cited by-同舟云学术

Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions

Published:2010 Issue: Volume:2010 Page:1-8
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Dovgoshey Oleksiy¹,Riihentaus Juhani²

Affiliation:

1. Institute of Applied Mathematics and Mechanics, NASU, R. Luxemburg Street 74, Donetsk 83114, Ukraine

2. Department of Physics and Mathematics, University of Joensuu, P.O. Box 111, 80101 Joensuu, Finland

Abstract

After considering a variant of the generalized mean value inequality of quasinearly subharmonic functions, we consider certain invariance properties of quasinearly subharmonic functions. Kojić has shown that in the plane case both the class of quasinearly subharmonic functions and the class of regularly oscillating functions are invariant under conformal mappings. We give partial generalizations to her results by showing that inℝn,n≥2, these both classes are invariant under bi-Lipschitz mappings.

Funder

Academy of Finland

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2010/382179.pdf

Reference13 articles.

1. Lecture Notes in Mathematics,1971

2. Quasi-nearly subharmonic functions and conformal mappings

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