Boundedness of Some Marcinkiewicz Integral Operators Related to Higher Order Commutators on Hardy Spaces

Authors
Lu, Shan Zhen Xu, Li Fang
Citation
Lu, Shan Zhen et Xu, Li Fang, Boundedness of Some Marcinkiewicz Integral Operators Related to Higher Order Commutators on Hardy Spaces, Acta mathematica Sinica. English series (Print) , 22(1), 2006, pp. 105-114
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
1
Year of publication
2006
Pages
105 - 114
Database
ACNP
SICI code
Abstract
In this paper, the authors study the boundedness properties of .m.,b generated by the function b . Lip . (.n)(0 < . . 1/m) and the Marcinkiewicz integrals operator . . . The boundednesses are established on the Hardy type spaces Hpbm,s(Rn) and the Herz.Hardy type spaces HbmK..,pq(Rn)