A note on certain block spaces on the unit sphere

作者:Ye Xiao Feng*; Zhu Xiang Rong
来源:Acta Mathematica Sinica-English Series, 2006, 22(6): 1843-1846.
DOI:10.1007/s10114-005-0781-4

摘要

In this note, we clarify a relation between block spaces and the Hardy space. We obtain that block spaces B-q(0,v) (Sn-1) subset of H-1 (Sn-1) + L(ln(+)L)(1+v) (Sn-1), v > 1, q > 1. Furthermore, if v >= 0, q > 1, verify that block spaces B-q(0,v) (Sn-1) are proper subspaces of H-1 (Sn-1).