کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419246 | 1339379 | 2012 | 16 صفحه PDF | دانلود رایگان |
Let Ï:RnÃ[0,â)â[0,â) be such that Ï(x,â ) is an Orlicz function and Ï(â ,t) is a Muckenhoupt Aâ(Rn) weight. The Musielak-Orlicz Hardy space HÏ(Rn) is defined to be the space of all fâSâ²(Rn) such that the grand maximal function fâ belongs to the Musielak-Orlicz space LÏ(Rn). Luong Dang Ky established its atomic characterization. In this paper, the authors establish some new real-variable characterizations of HÏ(Rn) in terms of the vertical or the non-tangential maximal functions, or the Littlewood-Paley g-function or gλâ-function, via first establishing a Musielak-Orlicz Fefferman-Stein vector-valued inequality. Moreover, the range of λ in the gλâ-function characterization of HÏ(Rn) coincides with the known best results, when HÏ(Rn) is the classical Hardy space Hp(Rn), with pâ(0,1], or its weighted variant.
Journal: Journal of Mathematical Analysis and Applications - Volume 395, Issue 1, 1 November 2012, Pages 413-428