2022-05-22T16:44:11Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/798002021-10-14T01:54:07Zhdl_2115_45007hdl_2115_116Normal trace for vector fields of bounded mean oscillationGiga, YoshikazuGu, Zhongyang410We introduce various spaces of vector fields of bounded mean oscillation (BMO) defined in a domain so that normal trace on the boundary is bounded when its divergence is well controlled. The behavior of "normal" component and "tangential" component may be different for our BMO vector fields. As a result zero extension of the normal component stays in BMO although such property may not hold for tangential components.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/79800info:doi/10.14943/95977https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/79800/1/NorTracVec.pdfHokkaido University Preprint Series in Mathematics11351332020-11-27engpublisher