Riemann–Liouville Fractional Integrals in Besov-Type Spaces

E. P. Ushakova

doi:10.1134/s008154382560142x

December 1, 2025Proceedings of the Steklov Institute of Mathematics

Riemann–Liouville Fractional Integrals in Besov-Type Spaces

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Key Points

To determine the criteria for norm inequalities in weighted Besov-type spaces involving Riemann–Liouville operators.
Analyzed Riemann–Liouville operators of fractional order.
Investigated norm inequalities in weighted Besov-type spaces.
Focused on the real axis and semi-axes for mathematical rigor.
Established valid criteria for the norm inequalities.
Demonstrated the applicability of Riemann–Liouville operators in this context.
Highlighted connections between fractional operators and Besov spaces.

Implication

Establishes criteria for norm inequalities in weighted Besov-type spaces, indicating their significance in mathematical analysis.

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.

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Cite This Study

E. P. Ushakova (2025) studied this question.

synapsesocial.com/papers/69be38ca6e48c4981c679694 https://doi.org/10.1134/s008154382560142x

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Riemann–Liouville Fractional Integrals in Besov-Type Spaces

Key Points

Implication

Abstract

Discussion

Cite This Study

Riemann–Liouville Fractional Integrals in Besov-Type Spaces

Key Points

Implication

Abstract

Discussion

Cite This Study

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