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Boundedness of the commutator of Marcinkiewicz integral with rough variable kernel.
- Source :
- Acta Mathematica Sinica; Jun2009, Vol. 25 Issue 6, p983-1000, 18p
- Publication Year :
- 2009
-
Abstract
- In this paper the author proves that the commutator of the Marcinkiewicz integral operator with rough variable kernel is bounded from the homogeneous Sobolev space $$ \dot L_\gamma ^2 $$(ℝ<superscript> n</superscript>) to the Lebesgue space L<superscript>2</superscript>(ℝ<superscript> n</superscript>), which is a substantial improvement and extension of some known results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 25
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 47488332
- Full Text :
- https://doi.org/10.1007/s10114-009-7681-y