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A Growth Behavior of Szegö Type Operators

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Document pages: 9 pages

Abstract: We define new integraloperators on the Haydy space similar to Szegö projection. We show that these operators mapfrom Hp to H2 for some 1 ≤ p 2, where the range of p is dependingon a growth condition. To prove that, we generalize the Hausdorff-Young Theoremto multi-dimensional case.

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