modular inequalities
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Some Modular Inequalities in Lebesgue Spaces with Variable Exponent on the Complex Plane

2019 ◽  
Vol 106 (1-2) ◽  
pp. 229-234
Author(s):  
M. Izuki ◽  
T. Koyama ◽  
T. Noi ◽  
Y. Sawano
Keyword(s):  
Complex Plane ◽  
Variable Exponent ◽  
Lebesgue Spaces ◽  
Modular Inequalities

scholarly journals Modular inequalities for the maximal operator in variable Lebesgue spaces

2018 ◽  
Vol 177 ◽  
pp. 299-311 ◽  
Author(s):  
David Cruz-Uribe ◽  
Giovanni Di Fratta ◽  
Alberto Fiorenza
Keyword(s):  
Maximal Operator ◽  
Lebesgue Spaces ◽  
Variable Lebesgue Spaces ◽  
Modular Inequalities

A modular variable Orlicz inequality for the local maximal operator

2018 ◽  
Vol 25 (2) ◽  
pp. 201-206 ◽  
Author(s):  
Claudia Capone ◽  
David Cruz-Uribe ◽  
Alberto Fiorenza
Keyword(s):  
Maximal Operator ◽  
Variable Exponent ◽  
Modular Inequalities

Abstract In this note we prove a modular variable Orlicz inequality for the local maximal operator. This result generalizes several Orlicz and variable exponent modular inequalities that have appeared previously in the literature.

Modular inequalities in martingale Orlicz-Karamata spaces

2018 ◽  
Vol 291 (8-9) ◽  
pp. 1450-1462 ◽  
Author(s):  
Lian Wu ◽  
Dejian Zhou ◽  
Yong Jiao
Keyword(s):  
Modular Inequalities
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