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Matematicheskie Zametki, 2004, Volume 75, Issue 1, Pages 3–12
DOI: https://doi.org/10.4213/mzm1 (Mi mzm1) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Carleman–Vekua Equations with Nonfinitely Supported Coefficients on a Noncompact Riemann Surface

I. A. Bikchantaev

Kazan State University
Full-text PDF (217 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1
Abstract: In this paper, we study equations of the form $\partial f+Af+B\bar f=G$, on an arbitrary noncompact Riemann surface $R$, where $A$, $B$, and $G$ are given square-integrable linear differentials of genus $(0,1)$ satisfying certain additional conditions. Necessary and sufficient conditions for the solvability of the above equation are proved for the class of functions with $\Lambda_0$-behavior in the neighborhood of the ideal boundary of the surface $R$; the index of the equation is also calculated.
Received: 08.07.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 1, Pages 3–12
DOI: https://doi.org/10.1023/B:MATN.0000015016.37815.22
Bibliographic databases:
UDC: 517.968.25+517.54
Language: Russian
Citation: I. A. Bikchantaev, “On Carleman–Vekua Equations with Nonfinitely Supported Coefficients on a Noncompact Riemann Surface”, Mat. Zametki, 75:1 (2004), 3–12; Math. Notes, 75:1 (2004), 3–12
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm1
  • https://www.mathnet.ru/eng/mzm/v75/i1/p3
    • This publication is cited in the following 2 articles:
    1. Rikchentaev A.M., “Local Convergence in Measure on Semifinite Von Neumann Algebras. III”, Hot Topics in Operator Theory, Conference Proceedings, eds. Douglas R., Esterle J., Gaspar D., Timotin D., Vasilescu F., Theta Foundation, 2008, 1–12  mathscinet  isi
    2. Bikchantaev, IA, “The R-linear conjugation problem for the Carleman-Vekua equation on an open Riemann surface”, Differential Equations, 43:2 (2007), 280  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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