L p $L^{p}$ and BMO bounds for weighted Hardy operators on the Heisenberg group
Abstract In the setting of the Heisenberg group H n $\mathbb{H}^{n}$ , we characterize those nonnegative functions w defined on [ 0 , 1 ] $[0,1]$ for which the weighted Hardy operator H w $\mathsf{H}_{w}$ is bounded on L p ( H n ) $L^{p}(\mathbb{H}^{n})$ , 1 ≤ p ≤ ∞ $1\leq p\leq\infty$ , and on BMO...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2016-11-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1222-x |