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math.PR2009
Regularity of harmonic functions for a class of singular stable-like processes
Richard F. Bass, Zhen-Qing Chen
We consider the system of stochastic differential equations dX_t=A(X_{t-}) dZ_t, where Z_t^1, ..., Z^d_t are independent one-dimensional symmetric stable processes of order α, and…
math.PR2006★ 3 cited
Non-local Dirichlet Forms and Symmetric Jump Processes
M. T. Barlow, R. F. Bass, Z. -Q. Chen. +1
We consider the symmetric non-local Dirichlet form given by \[ E (f,f)=\int_{R^d} \int_{R^d} (f(y)-f(x))^2 J(x,y) dx dy \] with the closure of the set of functio…