Extrapolation on Lp,infinity (mu) Articles
- JOURNAL OF FUNCTIONAL ANALYSIS Journal
- November 2013
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- We solve the extrapolation problem concerning bounded operators on L-p,L-infinity(mu); that is, we give end-point estimates for sublinear operators T such that T : L-p,L-infinity(mu) --> L-p,L-infinity(nu) 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.
- extrapolation theory; weak l-p-spaces; hardy-littlewood maximal operator; muckenhoupt weights