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A reverse weighted inequality for the Hardy-Littlewood maximal function in Orlicz spaces

✍ Scribed by H. Kita

Book ID
110425544
Publisher
Akadmiai Kiad
Year
2003
Tongue
English
Weight
269 KB
Volume
98
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

On Hardy - Littlewood Maximal Functions
On Hardy - Littlewood Maximal Functions in Orlicz Spaces
✍ H. Kita πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 664 KB

## 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

Weighted inequalities for iterated maxim
Weighted inequalities for iterated maximal functions in Orlicz spaces
✍ Hiro-o Kita πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 156 KB

## 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