On the Feller property of Dirichlet forms generated by pseudo differential operators

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The best constant in a fractional Hardy inequality (2008, background): “We suggest the former as a possible setup for studying Dirichlet boundary value problems for non-local integro-differential operators and the corresponding stochastic processes [30], [38] on subdomains of R [3], beyond the “convolutional” case of the whole of R [4], [21].”
Non-local dirichlet forms and symmetric jump processes (2006, methodology): “See [ SU05 ] for related results for processes given in terms of pseudo-dierentia l operators.”
Conservation property of symmetric jump processes (2011, unknown): “Moreover, since the symbol associated with the (L2)-generator of the Dirichlet form is indeed singular (see [20], Corollary 3.”