Abstract This paper gencralizes the result about linear isometries of S~ spaces given by W.P.Novinger and D.M.Oberlin[2]for the unite dise of C to the bounded symmetric domains of C^n
Let ωα (α=1,…,n) be the holomorphic invariant forms introduced by the author previously ona bounded domain D in Cn for n ≥ 2. Set ωα=(i/2)α ωα.Then for any complex surface S in D we have ω2/1|S≥ω2|s.
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
文摘Abstract This paper gencralizes the result about linear isometries of S~ spaces given by W.P.Novinger and D.M.Oberlin[2]for the unite dise of C to the bounded symmetric domains of C^n
基金supported by National Natural Science Foundation of China(Grant Nos.A01010501 and 10731080)
文摘Let ωα (α=1,…,n) be the holomorphic invariant forms introduced by the author previously ona bounded domain D in Cn for n ≥ 2. Set ωα=(i/2)α ωα.Then for any complex surface S in D we have ω2/1|S≥ω2|s.
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.