E.P. Ushakova

doi:10.32523/2077-9879-2026-17-3-54-80

Riemann–Liouville integrals in Besov spaces

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Authors

E.P. Ushakova V.A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, 65 Profsoyuznaya St, Moscow 117997, Russian Federation

DOI:

https://doi.org/10.32523/2077-9879-2026-17-3-54-80

Keywords:

Riemann–Liouville operator, Besov space, Muckenhoupt weight, local Muckenhoupt weight, B-spline, Battle–Lemarie wavelet system, decomposition theorem

Abstract

Criteria for the validity of inequalities in weighted smoothness function spaces of Besov type with Riemann–Liouville operators of natural orders on the real axis and semiaxes are found. The obtained estimates are refined under additional conditions on weights.

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Published

2026-09-30

How to Cite

Ushakova, E. (2026). Riemann–Liouville integrals in Besov spaces. Eurasian Mathematical Journal, 17(3), 54–80. https://doi.org/10.32523/2077-9879-2026-17-3-54-80