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Inequalities with weights for maximal functions in orlicz spaces

✍ Scribed by H. Kita

Publisher
Akadmiai Kiad
Year
1996
Tongue
English
Weight
468 KB
Volume
72
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

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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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In this paper we consider the class of s-Orlicz convex functions defined on a s-Orlicz convex subset of a real linear space. Some inequalities of Jensen's type for this class of mappings are pointed out.