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Available athttps:// arxiv · arXiv 2307.11392

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Bourgain-Brezis-Mironescu formula for Riesz Potentials

math.AP · 2026-04-08 · unverdicted · novelty 6.0

As alpha approaches 1 from below, (1-alpha) times the Riesz potential of D^alpha f converges to K_n times the Riesz potential of |grad f| for smooth compactly supported f, with subsequence a.e. convergence extended to W^{1,1} functions.

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  • Bourgain-Brezis-Mironescu formula for Riesz Potentials math.AP · 2026-04-08 · unverdicted · none · ref 3

    As alpha approaches 1 from below, (1-alpha) times the Riesz potential of D^alpha f converges to K_n times the Riesz potential of |grad f| for smooth compactly supported f, with subsequence a.e. convergence extended to W^{1,1} functions.