38
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces

&
Pages 336-346 | Received 11 Jul 2019, Accepted 21 Jan 2020, Published online: 06 Feb 2020

References

  • Kravchenko VG, Litvinchuk GS. Introduction to the theory of singular integral operators with shift. Dordrecht/Boston/London: Kluwer Academic Publishers; 1994. (Mathematics and its applications; vol. 289).
  • Besov OV, Il'in VP, Nikol'skiĭ SM. Integral representations of function and embedding theorems, 1, 2. New York (NY): John Willey; 1978. 1979.
  • Bliev N. Generalized analytic functions in fractional spaces. Boston, MA: Longman; 1997. Published.
  • Bliev NK. Singular integral operators with a Cauchy kernel in fractional spaces. Sib Math J. 2006;47(1):28–34. doi: 10.1007/s11202-006-0003-z
  • Litvinchuk GS. Boundary-Value problems and singular integral equations with shift. Moscow: Nauka; 1977. [In Russian].
  • Litvinchuk GS. Solvability theory of boundary value problems and singular integral equations with shift. Dordrecht: Kluwer Academic Publishers; 2000. (Mathematics and its applications; vol. 523).
  • Begehr H, Dai D. On continuous solutions of generalized Cauchy-Riemann system with more than one singularity. J Differ Equ. 2004;196:67–90. doi: 10.1016/j.jde.2003.07.013
  • Bliev NK. On continuous solutions of the Carleman-Vekua equation with a singular point. Complex Var Elliptic Equ. 2014;59(10):1489–1500. doi: 10.1080/17476933.2013.859681
  • Muskhelishvili NI. Singular integral equations. Moscow: Fizmatgiz; 1962. [in Russian].
  • Prössdorf S. Some classes of singular equations. Amsterdam: North-Holland Publishing Company; 1978. (North-Holland Mathematical Library; vol. 17).
  • Clancey K, Gohberg IFactorization of matrix functions and singular integral operators. New York (NY): Birkhauser; 1981. (Oper Theory Adv Appl; vol. 3).
  • Privalov II. German transl. Boundary properties of analytic functions, 2nd ed. Moscow: GITTL: 1950; Berlin: VEB Deutscher Verlag Wiss.; 1956.
  • Bliev NK. A system of singular integral equations with a Cauchy kernel in Besov spaces. Doklad Nac. Akademyy Nauk RK,. 2007;5:5–9. [in Russian].

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.