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THE -PROBLEM FOR HOLOMORPHIC (0,2)-FORMS ON PSEUDOCONVEX DOMAINS IN SEPARABLE HILBERT SPACES AND D.F.N. SPACES
作者姓名:J. LEE  K. H. SHON
作者单位:J. LEE,K. H. SHON Department of Mathematics Education,Andong National University,Andong 760-749,Korea. Department of Mathematics,Pusan National University,Pusan 609-735,Korea. E-mail: khshon@hyowon.pusan.ac.kr
基金项目:The first author was supported by KOSEF postdoctoral fellowship 1998 and the second author was supported by the Brain Korea 21 P
摘    要:51. IntroductionL. H5.m.nd..l3] solved the 0problem by using the L2-estimates for partial differentialoperators in C'.. J. Kajiwara4] studied infinite dimensional generalizations of the poten-tial kernel. Concerning the 0-problem in infinite dimensional spaces, P. ffeb.i.lll] investi-gated the a-equation for coc (o, 1)-forms in arbitrary pseudoconvex open subsets of separableHilbert spaces without growth condition. J. F. Colombeau and B. Perr.tl1 showed that aCoc solution u of 0u = w ca…

关 键 词:-prob1em    Pseudoconvex  domain    Nuclear  operator    D.F.N.  space
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