Boundedness of Weighted Hardy Operator and Its Adjoint on Triebel-Lizorkin-Type Spaces
Let p∈[1,∞], q∈[1,∞), τ∈(0,∞), and α∈(0,1) such that τ>1/p-1/q and α≤n(1/p-τ), let Uψ be the weighted Hardy operator and Vψ its adjoint operator with respect to the weight function ψ. In this paper, the authors establish a sufficient and necessary condition on weight function ψ to ensure the boun...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
|
| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/610649 |