On Singular Operators along a Contour with Corner Points [Articol]
Date
2024
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Abstract
In this paper, a method for constructing the symbol for singular integral operators in the case of a piecewise Lyapunov contour is proposed. In the definition of the symbol function, there are involved numbers characterizing the space in which the research is carried out, as well as the values of the corner points of the contour, which makes it possible to obtain formulas for calculating the essential norms of singular operators and conditions for the solvability of singular equations with a shift.
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Keywords
singular operator, Banach algebras, piecewise Lyapunov contour, symbol, Noether conditions
Citation
NEAGU, Vasile. On Singular Operators along a Contour with Corner Points. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 192-197. ISBN 978-9975-68-515-3.