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. Copyright © 2021 Instytut Matematyczny PAN.
| Original language | English |
|---|---|
| Pages (from-to) | 251-263 |
| Journal | Annales Polonici Mathematici |
| Volume | 126 |
| Early online date | 30 Apr 2021 |
| DOIs | |
| Publication status | Published - 2021 |
Citation
Ho, K.-P. (2021). Hardy’s inequalities, Hilbert inequalities and fractional integrals on function spaces of q-integral p-variation. Annales Polonici Mathematici, 126, 251-263. doi: 10.4064/ap200224-11-1Keywords
- Hardy’s inequalities
- Hilbert inequalities
- Riemann–Liouville integrals
- Weyl integrals
- Erdélyi–Kober fractional integrals
- q-integral p-variation
