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Necessary and sufficient conditions for weighted Orlicz class inequalities for maximal functions and singular integrals. I

✍ Scribed by A. Gogatishvili; V. Kokilashvili

Book ID
112719028
Publisher
Walter de Gruyter GmbH & Co. KG
Year
1995
Tongue
English
Weight
933 KB
Volume
2
Category
Article
ISSN
1072-947X

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πŸ“œ SIMILAR VOLUMES

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