Two Kinds Of Generalized Hardy Spaces And The Boundedness Of Their Related Operators

Hardy space theory is one of the core contents of harmonic analysis.In this paper,we study two kinds of generalized Hardy spaces and the boundedness of their related op-erators.Firstly,we study Hardy spaces on Rn with pointwise variable anisotropy and give its the radial,non-tangential and tangential maximal function characterizations.Then,we study weak Musielak-Orlicz Hardy spaces and obtain the boundedness of the Bochner-Riesz operators on them.