Quasi-regular Dirichlet forms and \(L^p\)-resolvents on measurable spaces

DOI10.1007/s11118-006-9016-2zbMath1107.31006OpenAlexW2094364134MaRDI QIDQ854736

Lucian Beznea, Nicu Boboc, Michael Roeckner

Publication date: 6 December 2006

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

Full work available at URL: https://doi.org/10.1007/s11118-006-9016-2

zbMATH Keywords

quasi-regularityright processsemi-Dirichlet form\(L^p\)-resolvent

Mathematics Subject Classification ID

Dirichlet forms (31C25) Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Transition functions, generators and resolvents (60J35) Right processes (60J40)

Related Items

Applications of compact superharmonic functions: path regularity and tightness of capacities, Quasimartingales associated to Markov processes, Markov processes associated to resistance forms, \(h\)-transform of Doob and nonlocal branching processes, Nonlinear PDEs and measure-valued branching type processes, On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets, Subordination in the sense of Bochner of \(L^p\)-semigroups and associated Markov processes, From resolvents to càdlàg processes through compact excessive functions and applications to singular SDE on Hilbert spaces, Potential theory of infinite dimensional Lévy processes, Decomposition formulae for Dirichlet forms and their corollaries, Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents, Markov processes associated with \(L^p\)-resolvents, applications to quasi-regular Dirichlet forms and stochastic differential equations, Markov processes on the Lipschitz boundary for the Neumann and Robin problems, Branching processes for the fragmentation equation, Measure-valued discrete branching Markov processes, A natural extension of Markov processes and applications to singular SDEs, Measures not charging polar sets and Schrödinger equations in \(L^p\), Feynman-Kac formula for left continuous additive functionals and extended Kato class measures, On the existence of the dual right Markov process and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Dirichlet forms and symmetric Markov processes
• Quasi-regular Dirichlet forms and Markov processes
• Markov processes associated with semi-Dirichlet forms
• ON THE TIGHTNESS OF CAPACITIES ASSOCIATED WITH SUB-MARKOVIAN RESOLVENTS
• Excessive Measures and the Existence of Right Semigroups and Processes
• [https://portal.mardi4nfdi.de/wiki/Publication:4054469 Processus de Markov associ� a une forme de Dirichlet non sym�trique]
• Quasi-homeomorphisms of Dirichlet forms
• Quasi-Regular Dirichlet Forms: Examples and Counterexamples
• On the quasi-regularity of semi-Dirichlet forms