2024-03-29T06:38:22Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/695332022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Boundary behavior of quotients of Martin kernelsHirata, Kentaroboundary behaviorMartin kernelminimal thinness410Given two intersecting domains, we investigate the boundary behavior of the quotient of Martin kernels of each domain. To this end, we give a characterization of the minimal thinness for a difference of two subdomains in terms of Martin kernels of each domain. As a consequence of our main theorem (Theorem 2.1), we obtain the boundary growth of the Martin kernel of a Lipschitz domain, which corresponds to earlier results for the boundary decay of the Green function for a Lipschitz domain investigated by Burdzy, Carroll and Gardiner.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69533info:doi/10.14943/83875https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69533/1/pre725.pdfHokkaido University Preprint Series in Mathematics7251102005engpublisher