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Title of Journal: Acta Math Sinica

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Abbravation: Acta Mathematica Sinica

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Springer-Verlag

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10.1007/s00049-003-0234-4

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1439-7617

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A Note on Certain Block Spaces on the Unit Sphere

Authors: Xiao Feng Ye Xiang Rong Zhu
Publish Date: 2006/06/17
Volume: 22, Issue: 6, Pages: 1843-1846
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Abstract

In this note we clarify a relation between block spaces and the Hardy space We obtain that block spaces B0nu q left Sn 1 right subset H1 left Sn 1 right + Lleft ln + L right1 + nu left Sn 1 rightnu 1q 1 Furthermore if ν ≥ 0 q1 we verify that block spaces B0nu q left Sn 1 right are proper subspaces of H 1S n−1

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