Continuous frame decomposition and a vector Hunt-Muckenhoupt-Wheeden theorem
نویسندگان
چکیده
منابع مشابه
Scalar and Vector Muckenhoupt Weights
We inspect the relationship between the Ap,q condition for families of norms on vector valued functions and the Ap condition for scalar weights. In particular we will show if we are considering a norm-valued function ρ(·) such that, uniformly in all nonzero vectors x, ρ(·)(x) p ∈ Ap and ρ(·)(x) ∈ Aq then the following hold: If p = q = 2, and functions take values in R then ρ ∈ A2,2. If p = q = ...
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Weighted Norm theory forms a basic component of the study of singular integrals. Here one attempts to characterize those measure spaces over which a broad class of singular integral operators remain bounded. For the case of singular integral operators on C-valued functions in Euclidean space, the answer is given by the Hunt-Muckenhoupt-Wheeden theorem [10]. It states that the necessary and suff...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1997
ISSN: 0004-2080
DOI: 10.1007/bf02559975