2024-03-29T01:14:45Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/695342022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Comparison estimates for the Green function and the Martin kernelHirata, KentaroGreen functionMartin kerneluniform domain410A comparison estimate for the product of the Green function and the Martin kernel is given in a uniform domain. As its application, we show the equivalence of ordinary thinness and minimal thinness of a set contained in a non-tangential cone. We also give a comparison estimate for the Martin kernels with distinct singularities.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69534info:doi/10.14943/83876https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69534/1/pre726.pdfHokkaido University Preprint Series in Mathematics7261112005engpublisher