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

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

Given a sublinear operator T satisfying thatThis 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 of the space B and study its associate space.This last information allows us to formulate an extrapolation …