MIXED NORM INEQUALITIES FOR SOME DIRECTIONAL MAXIMAL OPERATORS
2012 ◽
Vol 86
(3)
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pp. 448-455
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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.
2017 ◽
Vol 60
(3)
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pp. 586-603
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1998 ◽
Vol 128
(2)
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pp. 403-424
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2006 ◽
Vol 359
(5)
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pp. 2137-2154
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1993 ◽
Vol 119
(4)
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pp. 1121-1121