analysis / Nonlocal operators
Nazarov conjectured that for $s \in (1, 3/2)$ the quadratic form of the spectral fractional Dirichlet Laplacian strictly increases under $u \mapsto |u|$ when $u$ changes sign. Proved and substantially generalized, with the same conclusion for the restricted form.
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Nazarov conjectured that for $s \in (1, 3/2)$ the quadratic form of the spectral fractional Dirichlet Laplacian strictly increases under $u \mapsto |u|$ when $u$ changes sign. Proved and substantially generalized, with the same conclusion for the restricted form.
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Nazarov conjectured that for $s \in (1, 3/2)$ the quadratic form of the spectral fractional Dirichlet Laplacian strictly increases under $u \mapsto |u|$ when $u$ changes sign. Proved and substantially generalized, with the same conclusion for the restricted form.
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