Matrix Apweights via maximal functions
نویسندگان
چکیده
منابع مشابه
MATRIX Ap WEIGHTS VIA MAXIMAL FUNCTIONS
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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The statement of the problem. In this paper we study weighted norm inequalities with matrix valued weights. Namely, let W be a d × d matrix weight, i.e. a L-function whose values are selfadjoint nonnegative d × d matrices. We suppose that the weight W is defined on the unit circle T = {z ∈ C : |z| = 1} or the real line R. Let L = L(C) be the space of all measurable vector functions on T whose C...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2003
ISSN: 0030-8730
DOI: 10.2140/pjm.2003.211.201