A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\) (Q1925429)
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scientific article; zbMATH DE number 6116448
| Language | Label | Description | Also known as |
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| English | A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\) |
scientific article; zbMATH DE number 6116448 |
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A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\) (English)
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18 December 2012
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Summary: We introduce certain type of weighted variant of Riemann-Liouville fractional integral on \(\mathbb R^n\) and obtain its sharp bounds on the central Morrey and \(\lambda\)-central BMO spaces. Moreover, we establish a sufficient and necessary condition of the weight functions so that commutators of weighted Hardy operators (with symbols in \(\lambda\)-central BMO space) are bounded on the central Morrey spaces. These results are further used to prove sharp estimates of some inequalities due to Weyl and Cesàro.
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weighted Riemann-Liouville fractional integral
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