Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590199 | Journal of Functional Analysis | 2013 | 30 Pages |
Abstract
We solve the extrapolation problem concerning bounded operators on Lp,∞(μ); that is, we give end-point estimates for sublinear operators T such that T:Lp,∞(μ)→Lp,∞(ν) is bounded with constant less than or equal to 1/(p−1)m. Applications to the Hardy–Littlewood maximal operator, the Hilbert transform and composition of operators are also given.
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