Norm inequalities with fractional integrals
Copyright policy )Norm inequalities with fractional integrals
Fractional spline wavelet systems are considered. Together with the Battle–Lemarié scaling and wavelet functions of natural orders, they are used to find conditions that ensure certain inequalities between the norms of images and pre-images of fractional integration operators in Besov spaces with Muckenhoupt weights on R \mathbb {R} .
- Russian Academy of Sciences Russian Federation
- V. A. Trapeznikov Institute of Control Sciences Russian Federation
- Department of Mathematical Sciences Russian Federation
- Steklov Mathematical Institute Russian Federation
- Computing Center Russian Federation
spline wavelet basis, Curves in Euclidean and related spaces, Fractional derivatives and integrals, molecular representation, Inequalities and extremum problems involving convexity in convex geometry, Muckenhoupt weight, Nontrigonometric harmonic analysis involving wavelets and other special systems, Convex sets in \(2\) dimensions (including convex curves), Besov space, Riemann-Liouville operator, atomic decomposition
spline wavelet basis, Curves in Euclidean and related spaces, Fractional derivatives and integrals, molecular representation, Inequalities and extremum problems involving convexity in convex geometry, Muckenhoupt weight, Nontrigonometric harmonic analysis involving wavelets and other special systems, Convex sets in \(2\) dimensions (including convex curves), Besov space, Riemann-Liouville operator, atomic decomposition
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