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math.MG2001
A New Weighted Metric: the Relative Metric II
Peter A. Hasto
In the first part of this investigation, [Ha], we generalized a weighted distance function of [Li] and found necessary and sufficient conditions for it being a metric. In this pape…
math.MG2001
A New Weighted Metric: the Relative Metric I
Peter A. Hasto
The M-relative distance, denoted by ρ_M is a generalization of the p-relative distance, which was introduced by Ren-Cang Li. We establish necessary and sufficient conditions under…
math.CA2001
Distortion in the Spherical Metric under Quasiconformal Mappings
Peter A. Hasto
This paper contains bounds for the distortion in the spherical metric, that is to say bounds for the constant of Holder continuity of mappings f : (\Rn,q) -> (\Rn, q) where q denot…