Weighted Inequalities for One-Sided Maximal Functions

1990 ◽  
Vol 319 (2) ◽  
pp. 517 ◽  
Author(s):  
F. J. Martin-Reyes ◽  
P. Ortega Salvador ◽  
A. De La Torre
Keyword(s):  
Maximal Functions ◽  
Weighted Inequalities

scholarly journals MIXED NORM INEQUALITIES FOR SOME DIRECTIONAL MAXIMAL OPERATORS

2012 ◽  
Vol 86 (3) ◽  
pp. 448-455
Author(s):  
DAH-CHIN LUOR
Keyword(s):  
Harmonic Analysis ◽  
Maximal Functions ◽  
Maximal Operators ◽  
Mixed Norm ◽  
Weighted Inequalities ◽  
Norm Inequalities ◽  
One Dimensional

AbstractMixed norm inequalities for directional operators are closely related to the boundedness problems of several important operators in harmonic analysis. In this paper we prove weighted inequalities for some one-dimensional one-sided maximal functions. Then by applying these results, we establish mixed norm inequalities for directional maximal operators which are defined from these one-dimensional maximal functions. We also estimate the constants in these inequalities.

scholarly journals Weighted inequalities for anisotropic maximal functions

1985 ◽  
Vol 110 (4) ◽  
pp. 384-393
Author(s):  
Vachtang Michailovič Kokilashvili ◽  
Jiří Rákosník
Keyword(s):  
Maximal Functions ◽  
Weighted Inequalities
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