Fefferman-stein不等式和齐次群上Herz型Hardy空间的极大特征

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.%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 (α, r) on these Hardy spaces is obtained.