The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces

Lihua Peng, and Yong Jiao. "The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces." Studia Mathematica 229.3 (2015): 189-202. <http://eudml.org/doc/285635>.

@article{LihuaPeng2015,
abstract = {We introduce the minimal operator on weighted grand Lebesgue spaces, discuss some weighted norm inequalities and characterize the conditions under which the inequalities hold. We also prove that the John-Nirenberg inequalities in the framework of weighted grand Lebesgue spaces are valid provided that the weight function belongs to the Muckenhoupt $A_\{p\}$ class.},
author = {Lihua Peng, Yong Jiao},
journal = {Studia Mathematica},
keywords = {grand Lebesgue spaces; minimal inequalities; minimal operators; -weights; Jonh-Nirenberg inequalities},
language = {eng},
number = {3},
pages = {189-202},
title = {The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces},
url = {http://eudml.org/doc/285635},
volume = {229},
year = {2015},
}

TY - JOUR
AU - Lihua Peng
AU - Yong Jiao
TI - The minimal operator and the John--Nirenberg theorem for weighted grand Lebesgue spaces
JO - Studia Mathematica
PY - 2015
VL - 229
IS - 3
SP - 189
EP - 202
AB - We introduce the minimal operator on weighted grand Lebesgue spaces, discuss some weighted norm inequalities and characterize the conditions under which the inequalities hold. We also prove that the John-Nirenberg inequalities in the framework of weighted grand Lebesgue spaces are valid provided that the weight function belongs to the Muckenhoupt $A_{p}$ class.
LA - eng
KW - grand Lebesgue spaces; minimal inequalities; minimal operators; -weights; Jonh-Nirenberg inequalities
UR - http://eudml.org/doc/285635
ER -