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A Note on Certain Block Spaces on the Unit Sphere 被引量:3

A Note on Certain Block Spaces on the Unit Sphere
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摘要 In this note, we clarify a relation between block spaces and the Hardy space. We obtain Bq^0.v belong to H^1(S^n-1)+L(ln+L)^1+v(s^n-1),v〉-1,q〉1,Furthermore,if v≥ 0, q 〉 1. we verify that block spaces Rq^0.v(S^n-1)are proper subspaces of H1 (S^n- 1), In this note, we clarify a relation between block spaces and the Hardy space. We obtain Bq^0.v belong to H^1(S^n-1)+L(ln+L)^1+v(s^n-1),v〉-1,q〉1,Furthermore,if v≥ 0, q 〉 1. we verify that block spaces Rq^0.v(S^n-1)are proper subspaces of H1 (S^n- 1),
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第6期1843-1846,共4页 数学学报(英文版)
基金 Project supported by 973-project(G1999075105),NSFC(G10271107),RFDP(20030335019)and ZJNSF(RC97017)
关键词 block spaces Hardy space block spaces, Hardy space
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