𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a Measure of Non–compactness for Some Classical Operators

✍ Scribed by David E. Edmunds; Alberto Fiorenza; Alexander Meskhi

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
250 KB
Volume
22
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On a measure of non–compactness for maxi
On a measure of non–compactness for maximal operators
✍ D. E. Edmunds; A. Meskhi 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 146 KB

## Abstract It is proved that there is no weight pair (__v,w__) for which the Hardy–Littlewood maximal operator defined on a domain Ω in **R**^__n__^ is compact from the weighted Lebesgue space __L^p^~w~__(Ω) to __L^p^~v~__ (Ω). Results of a similar character are also obtained for the fractional ma