Geodesic
Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel
Xiaosha Zhou1 ; Lanzhe Liu2
1 Department of Mathematics Changsha University of Science and Technology Changsha 410077, P.R. China
2 Department of Mathematics Changsha University of Science and Technology Changsha 410077, P. R. China
Colloquium Mathematicum, Tome 133 (2013) no. 2, pp. 253-271.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Some weighted sharp maximal function inequalities for the Toeplitz type operator $T_b=\sum_{k=1}^mT^{k,1}M_bT^{k,2}$ are established, where $T^{k,1}$ are a fixed singular integral operator with non-smooth kernel or $\pm I$ (the identity operator), $T^{k,2}$ are linear operators defined on the space of locally integrable functions, $k=1,\ldots ,m$, and $M_b(f)=bf$. The weighted boundedness of $T_b$ on Morrey spaces is obtained by using sharp maximal function inequalities.
DOI : 10.4064/cm133-2-12
Keywords: weighted sharp maximal function inequalities toeplitz type operator sum established where fixed singular integral operator non smooth kernel identity operator linear operators defined space locally integrable functions ldots weighted boundedness morrey spaces obtained using sharp maximal function inequalities

Xiaosha Zhou 1 ; Lanzhe Liu 2

1 Department of Mathematics Changsha University of Science and Technology Changsha 410077, P.R. China
2 Department of Mathematics Changsha University of Science and Technology Changsha 410077, P. R. China 
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Xiaosha Zhou; Lanzhe Liu. Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel. Colloquium Mathematicum, Tome 133 (2013) no. 2, pp. 253-271. doi : 10.4064/cm133-2-12. http://geodesic.mathdoc.fr/articles/10.4064/cm133-2-12/

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