数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (2): 167-173.
张震球
Zhang Zhenqiu
摘要: Let μ be a locally uniformly α-dimensioual measure on Rn and Pt(fdμ) be the Able Poisson means of Hermite expansions for f∈LP(dμ), it is studied that the asymptotis properties of Pt(fdμ) as t→1_. Analogue of Wiener's theorem is obtained.Author also establishs the boundedness of the α-dimensional maximal conjugate Poisson integral operators from LP(dμ) to the Lebesgue p-power integrable function spaces LP(dx),and this derives directly the boundedness of Riesz transforms.