Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms
-
Wei Sun
und
Jing Zhang
Abstract
Let U be an open set of ℝn, m be a positive
Radon measure on U such that
(i) Denote respectively by
(ii) If
We also present a LeJan type transformation rule for the diffusion part of regular semi-Dirichlet forms on general state spaces.
Funding source: NSERC
Award Identifier / Grant number: 311945-2013
Funding source: NSFC
Award Identifier / Grant number: 11361021
Funding source: NSFC
Award Identifier / Grant number: 11201102
We thank the referee for suggesting us to give some non-trivial examples.
© 2015 by De Gruyter
Artikel in diesem Heft
- Frontmatter
- Subgroups which admit extensions of homomorphisms
- On the Dedekind completion of function rings
- Semiperfect and coreflexive coalgebras
- Approximations to the Karcher mean on Hadamard spaces via geometric power means
- Separable convolution-elliptic operators with parameters
- Charged spaces
- Autotopies and quasigroup identities: New aspects of non-associative division algebras
- Dualizing complexes and homomorphisms vanishing in Koszul homology
- Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type
- Hardy spaces associated with a pair of commuting operators
- Weighted multilinear Hardy operators and commutators
- A characterisation of almost simple groups with socle 2E6(2) or M(22)
- The Σ1-invariant for Artin groups of circuit rank 1
- The average signature of graph links
- Peetre's theorem in the locally convex setting
- Small covers, infra-solvmanifolds and curvature
- Farrell–Jones spheres and inertia groups of complex projective spaces
- Character sums over unions of intervals
- Cones of certain isolated left orderings and chain domains
- On Wolff's L5/2-Kakeya maximal inequality in ℝ3
- Fractional type Marcinkiewicz integral operators on function spaces
- Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms
- Homogeneous (α,β)-metrics of Douglas type
Artikel in diesem Heft
- Frontmatter
- Subgroups which admit extensions of homomorphisms
- On the Dedekind completion of function rings
- Semiperfect and coreflexive coalgebras
- Approximations to the Karcher mean on Hadamard spaces via geometric power means
- Separable convolution-elliptic operators with parameters
- Charged spaces
- Autotopies and quasigroup identities: New aspects of non-associative division algebras
- Dualizing complexes and homomorphisms vanishing in Koszul homology
- Comparison tests for the asymptotic behaviour of higher-order dynamic equations of neutral type
- Hardy spaces associated with a pair of commuting operators
- Weighted multilinear Hardy operators and commutators
- A characterisation of almost simple groups with socle 2E6(2) or M(22)
- The Σ1-invariant for Artin groups of circuit rank 1
- The average signature of graph links
- Peetre's theorem in the locally convex setting
- Small covers, infra-solvmanifolds and curvature
- Farrell–Jones spheres and inertia groups of complex projective spaces
- Character sums over unions of intervals
- Cones of certain isolated left orderings and chain domains
- On Wolff's L5/2-Kakeya maximal inequality in ℝ3
- Fractional type Marcinkiewicz integral operators on function spaces
- Lévy–Khintchine type representation of Dirichlet generators and semi-Dirichlet forms
- Homogeneous (α,β)-metrics of Douglas type
