Eigenvalue gaps for the Cauchy process and a Poincaré inequality

DOI10.1016/j.jfa.2005.11.016zbMath1089.60029arXivmath/0408267OpenAlexW1986022323MaRDI QIDQ2491618

Rodrigo Bañuelos, Tadeusz Kulczycki

Publication date: 29 May 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408267

zbMATH Keywords

spectral gapSteklov problem

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stable stochastic processes (60G52)

Related Items

Spectral gap for stable process on convex planar double symmetric domains ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Quantitative inequalities for the expected lifetime of Brownian motion ⋮ Trace estimates for stable processes ⋮ An improvement to a Berezin-Li-Yau type inequality ⋮ Eigenvalue inequalities for Klein-Gordon operators ⋮ Spectral Gap for the Cauchy Process on Convex, Symmetric Domains ⋮ ESTIMATES FOR THE SUMS OF EIGENVALUES OF THE FRACTIONAL LAPLACIAN ON A BOUNDED DOMAIN ⋮ Fractional calculus for power functions and eigenvalues of the fractional Laplacian

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