Riemann–Liouville Fractional Integrals in Besov-Type Spaces
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.
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.