Nageswari Shanmugalingam

activity

20072026

most citedRegularity of sets with quasiminimal boundary surfaces in metric spaces

46 citations · 339 across the 63 of their papers we have counts for

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Showing 2025 · math.MGShow all

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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 $u : Z \to R$ …

math.MG2025

Sharp conditions for preserving uniformity, doubling measure and Poincaré inequality under sphericalization

Riikka Korte, Sari Rogovin, Nageswari Shanmugalingam +1

We study sphericalization, which is a mapping that conformally deforms the metric and the measure of an unbounded metric measure space so that the deformed space is bounded. The go…

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

Sharp conditions for preserving uniformity, doubling measure and Poincaré inequality under sphericalization

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