منابع مشابه
Bilateral composition operators on vector-valued Hardy spaces
Let $T$ be a bounded operator on the Banach space $X$ and $ph$ be an analytic self-map of the unit disk $Bbb{D}$. We investigate some operator theoretic properties of bilateral composition operator $C_{ph, T}: f ri T circ f circ ph$ on the vector-valued Hardy space $H^p(X)$ for $1 leq p leq +infty$. Compactness and weak compactness of $C_{ph, T}$ on $H^p(X)$ are characterized an...
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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‖...
متن کاملExtrapolation of vector valued rearrangement operators
Given an injective map τ : D → D between the dyadic intervals of the unit interval [0, 1), we study extrapolation properties of the induced rearrangement operator of the Haar system IdX ⊗ Tp,τ : L p X,0([0, 1)) → L p X([0, 1)), where X is a Banach space and L p X,0 the subspace of mean zero random variables. If X is a UMD-space, then we prove that the property that IdX ⊗ Tp,τ is an isomorphism ...
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متن کاملbilateral composition operators on vector-valued hardy spaces
let $t$ be a bounded operator on the banach space $x$ and $ph$ be an analytic self-map of the unit disk $bbb{d}$. we investigate some operator theoretic properties of bilateral composition operator $c_{ph, t}: f ri t circ f circ ph$ on the vector-valued hardy space $h^p(x)$ for $1 leq p leq +infty$. compactness and weak compactness of $c_{ph, t}$ on $h^p(x)$ are characterized an...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2004.02.058