Josh Kline

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20232026

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math.MG2025

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

Iván Caamaño, Josh Kline

In the setting of a non-complete doubling metric measure space $(Ω, d, μ)$ , we construct various bounded linear trace and extension operators for homogeneous and inhomogeneous Besov…

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 $u : Z \to R$ …

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 $D^{1, p} = N^{1, p} + R$