Necessary and sufficient conditions for the two-weight weak type maximal inequality in Orlicz class

Ren, Yanbo, and Ding, Shuang. "Necessary and sufficient conditions for the two-weight weak type maximal inequality in Orlicz class." Czechoslovak Mathematical Journal 72.1 (2022): 79-85. <http://eudml.org/doc/297660>.

@article{Ren2022,
abstract = {We collect known and prove new necessary and sufficient conditions for the weighted weak type maximal inequality of the form \[ \Phi \_\{1\} (\lambda ) \varrho ( \lbrace x\in X\colon M\_\mu f (x) > \lambda \rbrace ) \le c \int \_X \Phi \_\{2\} (c | \{f(x)\} | ) \sigma (x) \{\rm d\} \mu (x), \] which extends some known results.},
author = {Ren, Yanbo, Ding, Shuang},
journal = {Czechoslovak Mathematical Journal},
keywords = {weight; weak type inequality; Hardy-Littlewood maximal function; Orlicz class},
language = {eng},
number = {1},
pages = {79-85},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Necessary and sufficient conditions for the two-weight weak type maximal inequality in Orlicz class},
url = {http://eudml.org/doc/297660},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Ren, Yanbo
AU - Ding, Shuang
TI - Necessary and sufficient conditions for the two-weight weak type maximal inequality in Orlicz class
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 1
SP - 79
EP - 85
AB - We collect known and prove new necessary and sufficient conditions for the weighted weak type maximal inequality of the form \[ \Phi _{1} (\lambda ) \varrho ( \lbrace x\in X\colon M_\mu f (x) > \lambda \rbrace ) \le c \int _X \Phi _{2} (c | {f(x)} | ) \sigma (x) {\rm d} \mu (x), \] which extends some known results.
LA - eng
KW - weight; weak type inequality; Hardy-Littlewood maximal function; Orlicz class
UR - http://eudml.org/doc/297660
ER -