A joint norm control Nehari type theorem forN-tuples of Hardy spaces |
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Authors: | Camil Muscalu |
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Affiliation: | (1) Institute of Mathematics of the Romanian Academy, P.O.Box 1-764, RO 70700 Bucharest, Romania;(2) Department of Mathematics, Brown University, RI 02912 Providence |
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Abstract: | If N ∈ ℕ, 0 < p ≤ 1, and(Xk) k=1 N are r.i.p-spaces, it is shown that there is C(= C(p, N)) > 0, such that for every ƒ ∈ ∩ k=1 N Xk, there exists with , for every 1 ≤ k ≤ N. Also, if ⊓ is a convex polygon in ℝ2, it is proved that the N-tuple (H(X1),…, H(Xn)) is K⊓-closed with respect to (X1,…, XN) in the sense of Pisier. Everything follows from Theorem 2.1, which is a general analytic partition of unity type result. |
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Keywords: | KeywordHeading" >Math Subject Classifications 47B10 47B35 |
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