On Combinations of Diffeomorphisms of Curves and Domains and Some Integral Operators

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Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system's guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	DOI: 10.23671/VNC.2019.1.27737 On Combinations of Diffeomorphisms of Curves and Domains and Some Integral Operators Klimentov, S. B. Vladikavkaz Mathematical Journal 2019. Vol. 21. Issue 1. Abstract: The superposition of diffeomorphisms of regular curves homeomorphic to the circle and domains bounded by them with the one-dimensional and two-dimensional integral operators are under consideration. A property of one-dimensional superposition similar to that of Bessel potentials is established. Keywords: diffeomorphism of paths and domains, integral operator. Language: Russian Download the full text For citation: Klimentov, S. B. On the Combinations of the Diffeomorphisms of Curves and Domains and Some Integral Operators, Vladikavkaz Math. J., 2019, vol. 21, no. 1, pp. 79-84. DOI 10.23671/VNC.2019.1.27737 + References 1. Klimentov, S. B. On the Combinations of the Circle Shifts and Some One-Dimensional Integral Operators, Vladikavkaz Math. J., 2017, vol. 19, no. 1, pp. 30-40 (in Russian). DOI: 10.23671/VNC.2017.1.5819. 2. Vekua, I. N. Generalized Analytic Functions, Oxford, etc. Pergamon Press, 1962, 668 p. 3. Litvinchuk, G. S. Kraevye zadachi i singulyarnye integralnye uravneniya so sdvigom [Boundary Value Problems and Singular Integral Equations with a Shift], Moscow, Fizmatgiz, 1977. 448 p. (in Russian). 4. Gakhov, F. D. Boundary Value Problems, Oxford, etc., Pergamon Press, 1966, 564 p. 5. Mikhlin, S. G. Multidimensional Singular Integrals and Integral Equations, Oxford, etc., Pergamon Press, 1965, 269 p. 6. Stein Elias, M. Singular Integrals and Differentiability Properties of Functions, Princeton, Princeton Univ. Press, 1970, 290 p. The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses. ← Contents of issue


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