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Weighted Inequalities for Certain Maximal Functions in Orlicz Spaces

✍ Scribed by Zhu Xuexian

Book ID
110426760
Publisher
Springer
Year
2001
Tongue
English
Weight
330 KB
Volume
17
Category
Article
ISSN
1573-8175

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## Abstract Let __M__ be the classical Hardy‐Littlewood maximal operator. The object of our investigation in this paper is the iterated maximal function __M__^__k__^__f__(__x__) = __M__(__M__^__kβˆ’1__^__f__) (__x__) (__k__ β‰₯ 2). Let Ξ¦ be a __Ο†__‐function which is not necessarily convex and Ξ¨ be a Yo

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## Abstract Let Φ(__t__) and Ψ(__t__) be the functions having the following representations Φ(__t__) = ∫__a__(__s__)__ds__ and Ψ(__t__) = ∫__b__(__s__) __ds__, where __a__(__s__) is a positive continuous function such that ∫__a__(__s__)/s ds = + ∞ and __b__(__s__) is an increasing function such tha