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Averaging operator in the Lpspaces for 0

✍ Scribed by B. E. Batyrov; V. I. Burenkov

Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
226 KB
Volume
43
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES

Optimal estimates for the Hardy averagin
Optimal estimates for the Hardy averaging operator
✍ Aleš Nekvinda; Luboš Pick 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB

## Abstract Let be the one‐dimensional Hardy averaging operator. It is well‐known that __A__ is bounded on __L^p^__ whenever 1 < __p__ ≤ ∞. We improve this result in the following sense: we introduce a pair of new function spaces, the ‘source’ space __S~p~__, which is strictly larger than __L^p^__