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The Noetherian Conditions and the Index of Some Class of Singular Integral Operators over a Bounded Simply Connected Domain

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Abstract

Necessary and sufficient conditions to be Noetherian are obtained for two-dimensional singular integral operators on Lebesgue spaces with a weight coefficient. A formula for calculation of their index is given.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Tajik National University, Rudaki str. 17, Dushanbe, 734025, Tajikistan

    G. Dzhangibekov & G. Kh. Khudzhanazarov

  2. Faculty of Natural Sciences, Dushanbe MSU Campus, Bokhtar str, 35/1, Dushanbe, 734003, Tajikistan

    D. M. Odinabekov

Authors
  1. G. Dzhangibekov
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  2. D. M. Odinabekov
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  3. G. Kh. Khudzhanazarov
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Corresponding authors

Correspondence to G. Dzhangibekov, D. M. Odinabekov or G. Kh. Khudzhanazarov.

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Dzhangibekov, G., Odinabekov, D.M. & Khudzhanazarov, G.K. The Noetherian Conditions and the Index of Some Class of Singular Integral Operators over a Bounded Simply Connected Domain. Moscow Univ. Math. Bull. 74, 49–54 (2019). https://doi.org/10.3103/S0027132219020025

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  • DOI: https://doi.org/10.3103/S0027132219020025

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