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fractional calculus 1gamma-convergence 1h-convergence 1monotone operators 1nonlocal operators 1

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math.FA2025

A note on non-local Sobolev spaces and non-local perimeters

Konstantinos Bessas, Giuseppe Cosma Brusca

We investigate the space of non-local Sobolev functions associated with an integral kernel. We prove an extension result, Sobolev and Poincaré inequalities and an isoperimetric in…