Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions

Autor:	Oleksiy Dovgoshey, Juhani Riihentaus
Jazyk:	angličtina
Rok vydání:	2010
Předmět:	Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 2010 (2010)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425
DOI:	10.1155/2010/382179
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a453a38d1367423b9703ea84a590b150 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF