Author:
Ding Shusen,Helliwell Dylan,Pandya Gavin,Yae Arya
Abstract
AbstractWe establish constructive geometric tools for determining when a domain is $L^{s}$
L
s
-averaging and obtain upper and lower bounds for the $L^{s}$
L
s
-integrals of the quasihyperbolic distance. We also construct examples that are helpful to understand our geometric tools and the relationship between p-Poincaré domains and $L^{s}$
L
s
-averaging domains. Finally, finite unions of $L^{s}(\mu )$
L
s
(
μ
)
-averaging domains are explored.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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