English

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

Functional Analysis 2020-02-27 v1

Abstract

In this paper, we obtain conditions of Noetherian solvability and the Index formula for a singular integral equation with a Cauchy kernel and a Carleman shift in Besov space, which is embedded into the space of continuous functions on a closed Lyapunov contour, but not into the class of functions satisfying H\"{o}lder condition.

Keywords

Cite

@article{arxiv.1908.10276,
  title  = {Noetherian solvability of an operator singular integral equation with a Carleman shift in fractional spaces},
  author = {N. K. Bliev and K. S. Tulenov},
  journal= {arXiv preprint arXiv:1908.10276},
  year   = {2020}
}

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