Josh Kline

activity

20232026

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3 papers · 1 filter

math.FA2025

Geometric inequalities related to fractional perimeter: fractional Poincaré, isoperimetric, and boxing inequalities in metric measure spaces

Josh Kline, Panu Lahti, Jiang Li +1

In the setting of a complete, doubling metric measure space $(X, d, μ)$ supporting a $(1, 1)$ -Poincaré inequality, we show that for all $0 < θ < 1$ , the following fractional Poincaré ineq…

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 $u : Z \to R$ …

Geometric inequalities related to fractional perimeter: fractional Poincaré, isoperimetric, and boxing inequalities in metric measure spaces

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