Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions
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 regul...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/382179 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548739822125056 |
|---|---|
| author | Oleksiy Dovgoshey Juhani Riihentaus |
| author_facet | Oleksiy Dovgoshey Juhani Riihentaus |
| author_sort | Oleksiy Dovgoshey |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a453a38d1367423b9703ea84a590b150 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a453a38d1367423b9703ea84a590b1502025-02-03T06:13:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/382179382179Bi-Lipschitz Mappings and Quasinearly Subharmonic FunctionsOleksiy Dovgoshey0Juhani Riihentaus1Institute of Applied Mathematics and Mechanics, NASU, R. Luxemburg Street 74, Donetsk 83114, UkraineDepartment of Physics and Mathematics, University of Joensuu, P.O. Box 111, 80101 Joensuu, FinlandAfter 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.http://dx.doi.org/10.1155/2010/382179 |
| spellingShingle | Oleksiy Dovgoshey Juhani Riihentaus Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions International Journal of Mathematics and Mathematical Sciences |
| title | Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions |
| title_full | Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions |
| title_fullStr | Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions |
| title_full_unstemmed | Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions |
| title_short | Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions |
| title_sort | bi lipschitz mappings and quasinearly subharmonic functions |
| url | http://dx.doi.org/10.1155/2010/382179 |
| work_keys_str_mv | AT oleksiydovgoshey bilipschitzmappingsandquasinearlysubharmonicfunctions AT juhaniriihentaus bilipschitzmappingsandquasinearlysubharmonicfunctions |