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

[21] The Cauchy-Riemann equations on product domains
Chakrabarti, Debraj
Shaw, Mei-Chi
MATHEMATISCHE ANNALEN, 2011, 349 (04) : 977 - 998
[22] Variational character of the Cauchy-Riemann equations
Ferreiro Perez, R.
Munoz Masque, J.
FORUM MATHEMATICUM, 2006, 18 (02) : 231 - 243
[23] Cauchy-Riemann equations in Minkowski plane
Weiling P.
Advances in Applied Clifford Algebras, 2005, 15 (1) : 71 - 82
[24] Cauchy-riemann equations in convex domains
Polking, John C.
Proceedings of Symposia in Pure Mathematics, 1991,
[25] An Exploring to the Cauchy-Riemann Equations for Proceedings
Zeng, Lijiang
INTERNATIONAL CONFERENCE ON SOCIAL SCIENCE, MANAGEMENT AND ECONOMICS (SSME 2015), 2015, : 750 - 755
[26] SOLUTION OF TANGENTIAL TIAL CAUCHY-RIEMANN EQUATIONS ON Q-CONCAVE CAUCHY-RIEMANN MANIFOLDS
HENKIN, GM
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1981, 292 (01): : 27 - 30
[27] On the solutions of generalized Cauchy-Riemann system
Shokirov, Bobosharif K.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2014, 59 (08) : 1118 - 1130
[28] THE CONVERGENCE OF CAUCHY-RIEMANN SUMS TO CAUCHY-RIEMANN INTEGRALS
SZASZ, O
TODD, J
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (11) : 1071 - 1071
[29] Single periodic Riemann problems for null-solutions to polynomially Cauchy-Riemann equations
Wang, Ying
Ku, Min
Zheng, Bo
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (06) : 749 - 769
[30] An Atomic Representation for Hardy Classes of Solutions to Nonhomogeneous Cauchy-Riemann Equations
Blair, William L.
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (09)

← 1 2 3 4 5 →