Hardy’s inequalities, Hilbert inequalities and fractional integrals on function spaces of $q$-integral $p$-variation
Volume 126 / 2021
Annales Polonici Mathematici 126 (2021), 251-263
MSC: Primary 26D10, 26D15, 42B35; Secondary 44A15, 46E30.
DOI: 10.4064/ap200224-11-1
Published online: 30 April 2021
Abstract
We obtain Hardy’s inequalities and the Hilbert inequalities for function spaces of $q$-integral $p$-variation. We also establish the mapping properties of Riemann–Liouville integrals, Weyl integrals and Erdélyi–Kober fractional integrals on these function spaces.
