A note on multilinear Muckenhoupt classes for multiple weights

Songqing Chen, Huoxiong Wu, and Qingying Xue. "A note on multilinear Muckenhoupt classes for multiple weights." Studia Mathematica 223.1 (2014): 1-18. <http://eudml.org/doc/285769>.

@article{SongqingChen2014,
abstract = {This paper is devoted to investigating the properties of multilinear $A_\{P⃗\}$ conditions and $A_\{(P⃗,q)\}$ conditions, which are suitable for the study of multilinear operators on Lebesgue spaces. Some monotonicity properties of $A_\{P⃗\}$ and $A_\{(P⃗,q)\}$ classes with respect to P⃗ and q are given, although these classes are not in general monotone with respect to the natural partial order. Equivalent characterizations of multilinear $A_\{(P⃗,q)\}$ classes in terms of the linear $A_\{p\}$ classes are established. These results essentially improve and extend the previous results.},
author = {Songqing Chen, Huoxiong Wu, Qingying Xue},
journal = {Studia Mathematica},
keywords = {multiple weights; multilinear Muckenhoupt classes},
language = {eng},
number = {1},
pages = {1-18},
title = {A note on multilinear Muckenhoupt classes for multiple weights},
url = {http://eudml.org/doc/285769},
volume = {223},
year = {2014},
}

TY - JOUR
AU - Songqing Chen
AU - Huoxiong Wu
AU - Qingying Xue
TI - A note on multilinear Muckenhoupt classes for multiple weights
JO - Studia Mathematica
PY - 2014
VL - 223
IS - 1
SP - 1
EP - 18
AB - This paper is devoted to investigating the properties of multilinear $A_{P⃗}$ conditions and $A_{(P⃗,q)}$ conditions, which are suitable for the study of multilinear operators on Lebesgue spaces. Some monotonicity properties of $A_{P⃗}$ and $A_{(P⃗,q)}$ classes with respect to P⃗ and q are given, although these classes are not in general monotone with respect to the natural partial order. Equivalent characterizations of multilinear $A_{(P⃗,q)}$ classes in terms of the linear $A_{p}$ classes are established. These results essentially improve and extend the previous results.
LA - eng
KW - multiple weights; multilinear Muckenhoupt classes
UR - http://eudml.org/doc/285769
ER -