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On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity.

María Jesús Carro — 2002

Publicacions Matemàtiques

Given a sublinear operator T satisfying that ||Tf||Lp(ν) ≤ C/(p-1) ||f||Lp(μ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that... [check the paper abstract for the formula] This estimate implies that T: L log L → B, where B is a rearrangement invariant space. The purpose of this note is to give several characterizations...

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