Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel

@article{XiaoshaZhou2013,
abstract = {Some weighted sharp maximal function inequalities for the Toeplitz type operator $T_b = ∑_\{k= 1\}^\{m\} T^\{k,1\}M_bT^\{k,2\}$ are established, where $T^\{k,1\}$ are a fixed singular integral operator with non-smooth kernel or ±I (the identity operator), $T^\{k,2\}$ are linear operators defined on the space of locally integrable functions, k = 1,..., m, and $M_b(f) = bf$. The weighted boundedness of $T_b$ on Morrey spaces is obtained by using sharp maximal function inequalities.},
author = {Xiaosha Zhou, Lanzhe Liu},
journal = {Colloquium Mathematicae},
keywords = {Toeplitz type operator; singular integral operator; sharp maximal function; Morrey space; weighted BMO; weighted Lipschitz function},
language = {eng},
number = {2},
pages = {253-271},
title = {Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel},
url = {http://eudml.org/doc/283465},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Xiaosha Zhou
AU - Lanzhe Liu
TI - Weighted boundedness of Toeplitz type operators related to singular integral operators with non-smooth kernel
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 2
SP - 253
EP - 271
AB - Some weighted sharp maximal function inequalities for the Toeplitz type operator $T_b = ∑_{k= 1}^{m} T^{k,1}M_bT^{k,2}$ are established, where $T^{k,1}$ are a fixed singular integral operator with non-smooth kernel or ±I (the identity operator), $T^{k,2}$ are linear operators defined on the space of locally integrable functions, k = 1,..., m, and $M_b(f) = bf$. The weighted boundedness of $T_b$ on Morrey spaces is obtained by using sharp maximal function inequalities.
LA - eng
KW - Toeplitz type operator; singular integral operator; sharp maximal function; Morrey space; weighted BMO; weighted Lipschitz function
UR - http://eudml.org/doc/283465
ER -