# A criterion for the absolute continuity of the harmonic measure associated with an elliptic operator

@inproceedings{Fefferman1989ACF, title={A criterion for the absolute continuity of the harmonic measure associated with an elliptic operator}, author={Robert Fefferman}, year={1989} }

- Published 1989
DOI:10.1090/s0894-0347-1989-0955604-8

for some A > O and for all x E Q and 4 E R n . We also assume a =a For such operators, the Dirichlet problem is solvable in Q if and only if it is solvable for the Laplace operator, according to a theorem of Littman, Stampacchia and Weinberger [1]. This means that if Q C R n is a sufficiently nice bounded region (the unit ball, B, is an example) and f is a given continuous function on the boundary of Q, then there exists a unique function u, continuous on Q, so that L(u) = 0 in Q and u = f on… CONTINUE READING

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