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
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.
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
Affiliations des auteurs :
Xiaosha Zhou 1 ; Lanzhe Liu 2
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author = {Xiaosha Zhou and Lanzhe Liu},
title = {Weighted boundedness of {Toeplitz} type operators related to singular integral operators with non-smooth kernel},
journal = {Colloquium Mathematicum},
pages = {253--271},
publisher = {mathdoc},
volume = {133},
number = {2},
year = {2013},
doi = {10.4064/cm133-2-12},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm133-2-12/}
}
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%0 Journal Article %A Xiaosha Zhou %A Lanzhe Liu %T Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel %J Colloquium Mathematicum %D 2013 %P 253-271 %V 133 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm133-2-12/ %R 10.4064/cm133-2-12 %G en %F 10_4064_cm133_2_12
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
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