Burdzy, KrzysztofBass, Richard F.2005-11-182005-11-181993Bass, R.F. & K. Burdzy. (1993). The Martin boundary in non-Lipschitz domains. Transactions of the American Mathematical Society, 337, 361-378.http://hdl.handle.net/1773/2172The Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in C [to the power of gamma] domains, where [gamma](x) = bx log log(1/x)/ log log log(1/x), b small. A counterexample shows that this result is very nearly sharp.248749 bytesapplication/pdfen-USMartin boundaryMartin kernelharmonic functionsminimal harmonicdivergence form operatorsconditioned Brownian motionh-processesThe Martin boundary in non-Lipschitz domainsArticle