The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator

The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for 1<P<∞, but also a bounded map from L1(Rn) to weak L1(Rn). Meanwhile, the BMOL-boundedness and (HL1,L1)-boundedness are also obtained. Finally, the Lp-boundedness and (L∞,BMOL)-boundedness for the commutat...

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Bibliographic Details
Main Authors: Dongxiang Chen, Dan Zou
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/402713