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This article is cited in 1 scientific paper (total in 1 paper)
Research Papers
Norm inequalities with fractional integrals
E. P. Ushakovaab, K. E. Ushakovac a Institute of Control Sciences
b Steklov Mathematical Institute of Russian Academy of Sciences
c Computer Centre of Far Eastern Branch RAS
Abstract:
Fractional spline wavelet systems are considered in the paper. With their help, as well as with the involvement of Battle–Lemarié scaling and wavelet functions of natural orders, conditions are found for the fulfillment of inequalities connecting norms of images and pre-images of fractional integration operators in Besov spaces with Muckenhupt weights on $\mathbb{R}$.
Keywords:
Riemann-Liouville operator, Besov space, Muckenhoupt weight, spline wavelet basis, atomic decomposition, molecular representation.
Received: 20.02.2022
Citation:
E. P. Ushakova, K. E. Ushakova, “Norm inequalities with fractional integrals”, Algebra i Analiz, 35:3 (2023), 185–219
Linking options:
https://www.mathnet.ru/eng/aa1871 https://www.mathnet.ru/eng/aa/v35/i3/p185
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Abstract page: | 255 | Full-text PDF : | 26 | References: | 30 | First page: | 33 |
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