Completely superharmonic measures for the infinitesimal generator A of a diffusion semi-group and positive eigen elements of A

DOI10.1017/S0027763000019425zbMath0427.31009OpenAlexW1505309559MaRDI QIDQ3864162

Masayuki Ito, Noriaki Suzuki

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000019425

zbMATH Keywords

Bernstein theoremelliptic operatorlocally compact Hausdorff spacediffusion semi-groupA- harmonic measuresA-superharmonic measurescompletely superharmonic measurespositive eigen- elements

Mathematics Subject Classification ID

Axiomatic potential theory (31D05) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Related Items (2)

Ultrapotentials and positive eigenfunctions for an absolutely continuous resolvent of kernels ⋮ On temporally completely monotone functions for Markov processes

Cites Work

• Noyaux de convolution de Hunt et noyaux associès á une famille fondamentale
• On definitions of superharmonic functions
• On existence of Green function and positive superharmonic functions for linear elliptic operators of second order
• Martin boundary for linear elliptic differential operators of second order in a manifold

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