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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 4, Pages 843–854
(Mi smj1109)
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This article is cited in 1 scientific paper (total in 1 paper)
$L_2$-estimates and existence theorems for generalized analytic functions in several variables
Z. G. Medzhidov Daghestan State University
Abstract:
We consider the generalized Cauchy–Riemann system with nonlinear terms in an arbitrary
domain of the complex space. Under some natural conditions on the coefficients and compatibility
conditions, we prove solvability of this system in the space of locally square integrable functions.
Keywords:
generalized analytic function, Cauchy–Riemann system, integrability, compatibility, foliation, Hörmander space.
Received: 26.04.2001
Citation:
Z. G. Medzhidov, “$L_2$-estimates and existence theorems for generalized analytic functions in several variables”, Sibirsk. Mat. Zh., 45:4 (2004), 843–854; Siberian Math. J., 45:4 (2004), 699–708
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https://www.mathnet.ru/eng/smj1109 https://www.mathnet.ru/eng/smj/v45/i4/p843
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Abstract page: | 281 | Full-text PDF : | 87 | References: | 29 |
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