Norm related inequalities for fractional integrals
Elena P. Ushakova, Kristina E. Ushakova
TL;DR
This paper investigates inequalities related to fractional integrals within the framework of fractional spline wavelet systems, establishing norm estimates that connect the images and pre-images in Besov spaces.
Contribution
It introduces new inequalities for fractional integrals using fractional spline wavelet systems and provides estimates linking norms in Besov spaces.
Findings
Establishment of inequalities connecting fractional integral norms in Besov spaces
Development of estimates for fractional spline wavelet system elements
Enhanced understanding of fractional integral behavior in function spaces
Abstract
Fractional spline wavelet systems are considered in the work. Molecular structure of elements of such systems admits estimates connecting norms of fractional integrals' images and pre--images in Besov spaces.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Advanced Harmonic Analysis Research · Advanced Numerical Analysis Techniques