Positive operators and maximal operators in a filtered measure space
โ Scribed by Tanaka, Hitoshi; Terasawa, Yutaka
- Book ID
- 118162119
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 859 KB
- Volume
- 264
- Category
- Article
- ISSN
- 0022-1236
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๐ SIMILAR VOLUMES
## Abstract It is proved that there is no weight pair (__v,w__) for which the HardyโLittlewood maximal operator defined on a domain ฮฉ in **R**^__n__^ is compact from the weighted Lebesgue space __L^p^~w~__(ฮฉ) to __L^p^~v~__ (ฮฉ). Results of a similar character are also obtained for the fractional ma
We define and characterize in Banach spaces the property of oscillation of a semidynamical system at the neighbourhood of a fixed point. The main idea of our investigation is to show that there does not exist a normal cone which would contain a nontrivial trajectory. ## 1998 Academic Press Let E b