Weak estimates cannot be obtained by extrapolation
نویسندگان
چکیده
منابع مشابه
Weighted Weak-type (1, 1) Estimates via Rubio De Francia Extrapolation
The classical Rubio de Francia extrapolation result asserts that if an operator T : L0(u) → Lp0,∞(u) is bounded for some p0 > 1 and every u ∈ Ap0 , then, for every 1 < p < ∞ and every u ∈ Ap, T : L(u) → Lp,∞(u) is bounded. However, there are examples showing that it is not possible to extrapolate to the end-point p = 1. In this paper we shall prove that there exists a class of weights, slightly...
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2010
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2010.03.005