Variational formula for Dirichlet forms and estimates of principal eigenvalues for symmetric \(\alpha\)-stable processes

DOI10.1007/s11118-004-5392-7zbMath1070.31006OpenAlexW1997428667MaRDI QIDQ1775511

Yuichi Shiozawa, Masayoshi Takeda

Publication date: 3 May 2005

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-004-5392-7

zbMATH Keywords

semigroupprincipal eigenvalueRadon measuresymmetric \(\alpha\)-stable process

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Stable stochastic processes (60G52) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Speed of stability for birth-death processes ⋮ Sharp bounds for the first eigenvalue of symmetric Markov processes and their applications ⋮ Exponential growth of the numbers of particles for branching symmetric \(\alpha\)-stable processes ⋮ \(L^p\)-Kato class measures and their relations with Sobolev embedding theorems for Dirichlet spaces ⋮ Extinction of branching symmetric α-stable processes ⋮ Maximal displacement of branching symmetric stable processes ⋮ Fractional calculus for power functions and eigenvalues of the fractional Laplacian ⋮ Exponential and strong ergodicity for one-dimensional time-changed symmetric stable processes

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