Extrapolation of vector-valued rearrangement operators
نویسندگان
چکیده
منابع مشابه
Extrapolation of vector-valued rearrangement operators II
We determine the extrapolation law of rearrangement operators acting on the Haar system in vector valued H spaces: If 0 < q ≤ p < 2, then, ‖Tτ,q ⊗ IdX‖ q 2−q q ≤ A(p, q)‖Tτ,p ⊗ IdX‖ p 2−p p . For a fixed Banach space X, the extrapolation range 0 < q ≤ p < 2 is optimal. If, however, there exists 1 < p0 < ∞, so that ‖Tτ,p0 ⊗ IdE‖L0 E < ∞, for each UMD space E, then for any 1 < p < ∞, ‖Tτ,p ⊗ IdE‖...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2009
ISSN: 0024-6107
DOI: 10.1112/jlms/jdp051