The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle action.The main result is that the cl...The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle action.The main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.展开更多
This paper shows that the 8-problem for holomorphic (0, 2)-forms on Hubert spaces is solv-able on pseudoconvex open subsets. By using this result, the authors investigate the existence of the solution of the -equation...This paper shows that the 8-problem for holomorphic (0, 2)-forms on Hubert spaces is solv-able on pseudoconvex open subsets. By using this result, the authors investigate the existence of the solution of the -equation for holomorphic (0, 2)-forms on pseudoconvex domains in D.F.N. spaces.展开更多
This paper studies the iteratiolls of holomorphic self-maps which have nonwandering points over general pseudoconvex domains in C2. The authors give especially a Denjoy-Wolff-type theorem on pseudoconvex domains with ...This paper studies the iteratiolls of holomorphic self-maps which have nonwandering points over general pseudoconvex domains in C2. The authors give especially a Denjoy-Wolff-type theorem on pseudoconvex domains with reaLanalytic boundaries, or even more general, on domains of finite type.展开更多
文摘The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle action.The main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.
基金The first author was supported by KOSEF postdoctoral fellowship 1998 and the second author was supported by the Brain Korea 21 P
文摘This paper shows that the 8-problem for holomorphic (0, 2)-forms on Hubert spaces is solv-able on pseudoconvex open subsets. By using this result, the authors investigate the existence of the solution of the -equation for holomorphic (0, 2)-forms on pseudoconvex domains in D.F.N. spaces.
文摘This paper studies the iteratiolls of holomorphic self-maps which have nonwandering points over general pseudoconvex domains in C2. The authors give especially a Denjoy-Wolff-type theorem on pseudoconvex domains with reaLanalytic boundaries, or even more general, on domains of finite type.
