Sobolev Spaces on Non Smooth Domains and Dirichlet Forms Related to Subordinate Reflecting Diffusions

DOI<75::AID-MANA75>3.0.CO;2-N 10.1002/1522-2616(200104)224:1<75::AID-MANA75>3.0.CO;2-NzbMath0980.31005OpenAlexW2027589340MaRDI QIDQ2721355

Walter Farkas, Niels Jacob

Publication date: 3 March 2002

Full work available at URL: https://doi.org/10.1002/1522-2616(200104)224:1<75::aid-mana75>3.0.co;2-n

zbMATH Keywords

subordinationDirichlet formstrace operatornon-smooth domainsWeyl decompositionreflecting diffusionDouglas integral

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Dirichlet forms (31C25) Boundary theory for Markov processes (60J50)

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Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• Some Dirichlet spaces obtained by subordinate reflected diffusions
• Dirichlet forms and symmetric Markov processes
• Shape from fractal geometry
• On the generation of semigroups of linear operators
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