Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator
Publications de l'Institut Mathématique, _N_S_92 (2012) no. 106, p. 165
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We establish some sharp maximal function inequalities for the Toeplitz type operator, which is related to certain fractional singular integral operator with general kernel. These results are helpful to investigate the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces respectively.
Classification :
42B20 42B25
@article{PIM_2012_N_S_92_106_a13,
author = {Chuangxia Huang and Lanzhe Liu},
title = {Sharp {Function} {Inequalities} and {Boundness} for {Toeplitz} {Type} {Operator} {Related} to {General} {Fractional} {Singular} {Integral} {Operator}},
journal = {Publications de l'Institut Math\'ematique},
pages = {165 },
year = {2012},
volume = {_N_S_92},
number = {106},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_2012_N_S_92_106_a13/}
}
TY - JOUR AU - Chuangxia Huang AU - Lanzhe Liu TI - Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator JO - Publications de l'Institut Mathématique PY - 2012 SP - 165 VL - _N_S_92 IS - 106 UR - http://geodesic.mathdoc.fr/item/PIM_2012_N_S_92_106_a13/ LA - en ID - PIM_2012_N_S_92_106_a13 ER -
%0 Journal Article %A Chuangxia Huang %A Lanzhe Liu %T Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator %J Publications de l'Institut Mathématique %D 2012 %P 165 %V _N_S_92 %N 106 %U http://geodesic.mathdoc.fr/item/PIM_2012_N_S_92_106_a13/ %G en %F PIM_2012_N_S_92_106_a13
Chuangxia Huang; Lanzhe Liu. Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator. Publications de l'Institut Mathématique, _N_S_92 (2012) no. 106, p. 165 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_92_106_a13/