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Fefferman-stein不等式和齐次群上Herz型Hardy空间的极大特征
引用本文:江寅生.Fefferman-stein不等式和齐次群上Herz型Hardy空间的极大特征[J].数学进展,2004,33(2):183-194.
作者姓名:江寅生
作者单位:新疆大学数学系,乌鲁木齐,新疆,830046
基金项目:Project supported by NSFC(No.19871071),partially supported by SF of Xinjiang University
摘    要:本文延拓Fefferman-Stein加权极大不等式到齐次群上,作为其应用,建立了齐次群上伴随于Herz空间和Beurling代数的Hardy空间极大特征。同时,得到了具(α,r)型核的卷积算子在这些Hardy空间上的有界性。

关 键 词:Fefferman-Stein不等式  齐次群  Hardy空间  Beurling代数  卷积算子  有界性  极大特征

Fefferman-Stein Inequality and Maximal Characterizations of Certain Herz-type Hardy Spaces on Homogeneous Groups
Abstract.Fefferman-Stein Inequality and Maximal Characterizations of Certain Herz-type Hardy Spaces on Homogeneous Groups[J].Advances in Mathematics,2004,33(2):183-194.
Authors:Abstract
Abstract:The author extends the Fefferman-Stein weighted maximal inequality to the setting of homogeneous groups. Applying the inequality, the maximal characterizations of certain Hardy spaces associated with the Herz spaces and the Beurling algebras on homogeneous groups are established. Moreover, the boundedness of the convolution operators with kernels of type (a, r) on these Hardy spaces is obtained.
Keywords:homogeneous group  Fefferman-Stein inequality  Herz-type Hardy spaces  maximal characterization
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