Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions

Joint Authors

Riihentaus, Juhani
Dovgoshey, Oleksiy

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-01-27

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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 in ℝn, n≥2, these both classes are invariant under bi-Lipschitz mappings.

American Psychological Association (APA)

Dovgoshey, Oleksiy& Riihentaus, Juhani. 2010. Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-467658

Modern Language Association (MLA)

Dovgoshey, Oleksiy& Riihentaus, Juhani. Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-8.
https://search.emarefa.net/detail/BIM-467658

American Medical Association (AMA)

Dovgoshey, Oleksiy& Riihentaus, Juhani. Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-8.
https://search.emarefa.net/detail/BIM-467658

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-467658