Intrinsic ultracontractivity via capacitary width

DOI10.4171/RMI/863zbMath1331.31005OpenAlexW2378889425MaRDI QIDQ888930

Hiroaki Aikawa

Publication date: 3 November 2015

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/863

zbMATH Keywords

heat kernelboundary Harnack principlecapacitary width

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Connections of harmonic functions with differential equations in higher dimensions (31B35) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Heat kernel (35K08)

Related Items

Intrinsic ultracontractivity for domains in negatively curved manifolds, Construction of a domain that fails the global boundary Harnack principle via the Helmholtz equation, Martin kernels for Markov processes with jumps, Global integrability of supertemperatures, Characterization of intrinsic ultracontractivity for one dimensional Schrödinger operators, Conformal contractions and lower bounds on the density of harmonic measure, Monotonicity of non-Liouville property for positive solutions of skew product elliptic equations, Analytic-geometric methods for finite Markov chains with applications to quasi-stationarity, Potential theoretic notions related to integrability of superharmonic functions and supertemperatures, Existence and uniqueness of quasi-stationary distributions for symmetric Markov processes with tightness property

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