MATRIX Ap WEIGHTS VIA S-FUNCTIONS
نویسنده
چکیده
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 Cnorm is summable to the power of p. Let H = H(C) be the corresponding Hardy space of analytic functions, and let P+ be projection in L p onto H annihilating antianalytic functions in L which vanish at the origin. Let H denote the Hilbert
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