𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orlicz Spaces and Rearranged Maximal Functions

✍ Scribed by Richard J. Bagby; John D. Parsons

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
510 KB
Volume
132
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

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

Capacity for potentials of functions in
Capacity for potentials of functions in Musielak–Orlicz spaces
✍ Fumi-Yuki Maeda; Yoshihiro Mizuta; Takao Ohno; Tetsu Shimomura πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 276 KB

We define a capacity for potentials of functions in Musielak-Orlicz spaces. Basic properties of such capacity are studied. We also estimate the capacity of balls and give some applications of the estimates.