The Fractional Laplacian has Infinite Dimension.

Adrian Spener,Frederic Weber,Rico Zacher

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS（2020）

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摘要

We show that the fractional Laplacian on R-d fails to satisfy the Bakry-Emery curvature-dimension inequality CD(kappa, N) for all curvature bounds kappa is an element of R and all finite dimensions N > 0.

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关键词

Gamma calculus,Bakry-emery curvature-dimension condition,fractional Laplacian

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