Josh Kline

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20242026

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math.MG2026

Warped product spaces: Gromov hyperbolicity and identification of the visual boundary

Josh Kline, Nageswari Shanmugalingam, Gareth Speight +1

In this paper, we consider warped product spaces $X \times_{I ¨} Y$ , where $X$ is a complete geodesic Gromov hyperbolic space, $Y$ is a compact geodesic metric space, and the warping fu…

math.MG2025

Trace and Extension Theorems for Besov Functions in Doubling Metric Measure Spaces

IvÃ¡n CaamaÃ±o, Josh Kline

In the setting of a non-complete doubling metric measure space $(I^c ◯, d, I^¼)$ , we construct various bounded linear trace and extension operators for homogeneous and inhomogeneous Beso…

math.MG2025

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$

Ilmari Kangasniemi, Josh Kline, Nageswari Shanmugalingam +1

We construct a large class of metric measure spaces $Z$ which satisfy the identity $D^{1, p} (Z) = N^{1, p} (Z) + R$ , i.e.\ any measurable function $u : Z \to R$ …

Warped product spaces: Gromov hyperbolicity and identification of the visual boundary

Trace and Extension Theorems for Besov Functions in Doubling Metric Measure Spaces

Warped products, solid hyperbolic fillings, and the identity D1,p=N1,p+R

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$