Hardy's inequalities, Hilbert inequalities and fractional integrals on function spaces of q-integral p-variation

摘要

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 Erdelyi-Kober fractional integrals on these function spaces.