Riemann–Liouville Fractional Integrals in Besov-Type Spaces

We establish criteria for the validity of norm inequalities in weighted Besov-type spaces involving Riemann–Liouville operators of fractional order on the real axis and semi-axes.

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Publication Details

Journal
Proceedings of the Steklov Institute of Mathematics
Published
2025-12-01
DOI
https://doi.org/10.1134/s008154382560142x
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
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article

Riemann–Liouville Fractional Integrals in Besov-Type Spaces

E. P. Ushakova
Proceedings of the Steklov Institute of Mathematics
Advanced Harmonic Analysis Research
article

Riemann–Liouville Fractional Integrals in Besov-Type Spaces

E. P. Ushakova
article en

Abstract

We establish criteria for the validity of norm inequalities in weighted Besov-type spaces involving Riemann–Liouville operators of fractional order on the real axis and semi-axes.

Proceedings of the Steklov Institute of MathematicsVol. 331(1)
Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU), Computing Center (RU), Far Eastern Branch of the Russian Academy of Sciences (RU), V. A. Trapeznikov Institute of Control Sciences (RU)
Reduced inequalities
Openalex Percentile: Top 15%
Advanced Harmonic Analysis Research
DOISourceOpenAlex
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