Xiaohui-H. Zhang, Riku Klén, Ville Suomala, Matti Vuorinen, “Volume growth of quasihyperbolic balls”, Mat. Sb., 2017, Volume 208, Number 6,Pages <nobr>170

This article is cited in 4 papers

Volume growth of quasihyperbolic balls

Xiaohui-H. Zhang^a, Riku Klén^b, Ville Suomala^c, Matti Vuorinen^b

^a Department of Mathematical Sciences, Zhejiang Sci-Tech University, Hangzhou, China
^b Department of Mathematics and Statistics, University of Turku, Turku, Finland
^c Department of Mathematical Sciences, University of Oulu, Finland

Abstract: The purpose of this paper is to study the notion of the quasihyperbolic volume and to find growth estimates for the quasihyperbolic volume of balls in a domain $G\subset{\mathbb R}^n$ in terms of their radii.
Bibliography: 23 titles.

Keywords: quasihyperbolic volume, uniform porosity, $Q$-regularity.

UDC: 517.54

MSC: 51M10, 51M25, 28A80

Received: 15.11.2016 and 28.03.2017

DOI: 10.4213/sm8862