Hardy type operators on grand Lebesgue spaces for non-increasing functions
We characterize the weights w for which the operator Tψf(x)=∫0xψ(x,y)f(y)dy is bounded between weighted grand Lebesgue spaces Lwp) for non-increasing functions. The conjugate of Tψ, for a special ψ, given by Sϕ∗f(x):=∫x∞f(y)ϕ(y)Φ(y)dy is considered. An extrapolation type result giving Lp)-boundednes...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-05-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809216000143 |