SHARP CONSTANTS FOR MULTIVARIATE HAUSDORFF -INEQUALITIES

DOI10.1017/S1446788718000113zbMath1411.26018OpenAlexW2807588083MaRDI QIDQ3122318

Fan, Dashan, Fa You Zhao

Publication date: 20 March 2019

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788718000113

zbMATH Keywords

sharp constantmultivariate Hausdorff operator\(q\)-inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (6)

A characterization of CMO˙q→ via the commutator of Hardy-type operators on mixed Herz spaces ⋮ Sharp constants for \(q\)-analogue of Hausdorff operators on central \(q\)-Morrey spaces ⋮ Estimates for weighted Hardy-Littlewood averages and their commutators on mixed central Morrey spaces ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Estimates for the product weighted Hardy-Littlewood average and its commutator on product central Morrey spaces ⋮ The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces

Cites Work

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• \(q\)-fractional calculus and equations
• Best constants for Hausdorff operators on \(n\)-dimensional product spaces
• Variational calculus on \(q\)-nonuniform lattices
• Hausdorff operators on Euclidean spaces
• Some \(q\)-inequalities for Hausdorff operators
• Taylor-Widder representation formulae and Ostrowski, Grüss, integral means and Csiszar type inequalities
• Inequalities for convex sequences and their applications
• Some new Hardy-type inequalities in q-analysis
• A Comprehensive Treatment of q-Calculus
• On Hardy q-inequalities
• Several q-integral inequalities
• Quantum calculus

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