On Solvability of the Sonin–Abel Equation in the Weighted Lebesgue Space

On Solvability of the Sonin–Abel Equation in the Weighted Lebesgue Space

In this paper we present a method of studying a convolution operator under the Sonin conditions imposed on the kernel. The particular case of the Sonin kernel is a kernel of the fractional integral Riemman–Liouville operator, other various types of the Sonin kernels are a Bessel-type function, funct...

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Bibliographic Details
Main Author: Maksim V. Kukushkin
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Fractal and Fractional
Subjects:
Riemann–Liouville operator
Abel equation
Jacobi polinomials
weighted Lebesgue spaces
convolution operators
Sonin conditions
Online Access:https://www.mdpi.com/2504-3110/5/3/77

Internet

https://www.mdpi.com/2504-3110/5/3/77

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