Existence of the solutions of the Cauchy-Riemann equations

被引：0

作者：

Lee, JK ^{[1
]}

Shon, KH ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

FINITE OR INFINITE DIMENSIONAL COMPLEX ANALYSIS | 2000年 / 214卷

关键词：

pseudoconvex domain; nuclear operator; DFN space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Cauchy-Riemann equations for holomorphic (0,2)-forms on Hilbert spaces is solvable on a pseudoconvex open subset. By using this result, we investigate the existence of the solution of the Cauchy-Riemann equation for holomorphic (0, 2)-forms on a pseudoconvex domain in D.F.N. spaces.

引用

页码：283 / 288

页数：6

共 50 条

[1] UNIQUE CONTINUATION FOR SOLUTIONS TO INDUCED CAUCHY-RIEMANN EQUATIONS
HUNT, LR
POLKING, JC
STRAUSS, MJ
JOURNAL OF DIFFERENTIAL EQUATIONS, 1977, 23 (03) : 436 - 447
[2] PARTIAL INTEGRABILITY OF ALMOST COMPLEX STRUCTURES AND THE EXISTENCE OF SOLUTIONS FOR QUASILINEAR CAUCHY-RIEMANN EQUATIONS
Han, Chong-Kyu
Park, Jong-Do
PACIFIC JOURNAL OF MATHEMATICS, 2013, 265 (01) : 59 - 84
[3] On boundary behavior of solutions of the generalized Cauchy-Riemann equations
Dolzhenko, EP
Danchenko, VI
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1998, (03): : 16 - 25
[4] ON REPRESENTATION OF SOLUTIONS WITH SINGULARITIES FOR GENERALIZED CAUCHY-RIEMANN EQUATIONS
GUTLYANSKII, VY
RYAZANOV, VI
DOKLADY AKADEMII NAUK SSSR, 1991, 321 (06): : 1147 - 1150
[5] An Exploring to the Cauchy-Riemann Equations
Zeng, Lijiang
INTERNATIONAL CONFERENCE ON SOCIAL SCIENCE, MANAGEMENT AND ECONOMICS (SSME 2015), 2015, : 919 - 923
[6] A generalization of the Cauchy-Riemann equations
Williams, KP
ANNALS OF MATHEMATICS, 1928, 30 : 206 - 210
[7] TANGENTIAL CAUCHY-RIEMANN EQUATIONS
HILL, CD
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A350 - A350
[8] Double-periodic solutions of nonlinear Cauchy-Riemann equations
Kuksin, SB
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1996, 49 (07) : 639 - 676
[9] A REPRESENTATION OF THE SOLUTIONS OF THE GENERALIZED CAUCHY-RIEMANN EQUATIONS AND ITS APPLICATIONS
PANKO, SV
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1989, 53 (05): : 581 - 589
[10] SUBHARMONICITY INEQUALITIES INVOLVING SOLUTIONS OF GENERALIZED CAUCHY-RIEMANN EQUATIONS
COIFMAN, RR
WEISS, G
STUDIA MATHEMATICA, 1970, 36 (01) : 77 - &

← 1 2 3 4 5 →