Multilinear Calderón-Zygmund operators on weighted Hardy spaces

Wenjuan Li, Qingying Xue, and Kôzô Yabuta. "Multilinear Calderón-Zygmund operators on weighted Hardy spaces." Studia Mathematica 199.1 (2010): 1-16. <http://eudml.org/doc/285893>.

@article{WenjuanLi2010,
abstract = {Grafakos-Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderón-Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined $A_\{p⃗\}$ weights and built a theory of weights adapted to multilinear Calderón-Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderón-Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for multilinear fractional integrals, which is related to the classical Trudinger inequality.},
author = {Wenjuan Li, Qingying Xue, Kôzô Yabuta},
journal = {Studia Mathematica},
keywords = {multiple weights; weighted norm inequalities; multilinear Calderón-Zygmund operators; weighted Hardy spaces},
language = {eng},
number = {1},
pages = {1-16},
title = {Multilinear Calderón-Zygmund operators on weighted Hardy spaces},
url = {http://eudml.org/doc/285893},
volume = {199},
year = {2010},
}

TY - JOUR
AU - Wenjuan Li
AU - Qingying Xue
AU - Kôzô Yabuta
TI - Multilinear Calderón-Zygmund operators on weighted Hardy spaces
JO - Studia Mathematica
PY - 2010
VL - 199
IS - 1
SP - 1
EP - 16
AB - Grafakos-Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderón-Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined $A_{p⃗}$ weights and built a theory of weights adapted to multilinear Calderón-Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderón-Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for multilinear fractional integrals, which is related to the classical Trudinger inequality.
LA - eng
KW - multiple weights; weighted norm inequalities; multilinear Calderón-Zygmund operators; weighted Hardy spaces
UR - http://eudml.org/doc/285893
ER -