A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\)
type: Item
instance of: scholarly article
title: A weighted variant of Riemann-Liouville fractional integrals on \(\mathbb R^n\)
zbMATH Open document ID: 1253.26009
DOI: 10.1155/2012/780132
author: Yanyan Li
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6116448
zbMATH Keywords: weighted Riemann-Liouville fractional integral
Wikidata QID: Q58696776
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/780132
OpenAlex ID: W2131485498
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description: scientific article; zbMATH DE number 6116448