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Weighted estimates for the averaging integral operator

✍ Scribed by Bohumír Opic; Jiří Rákosník

Publisher
Universitat de Barcelona
Year
2010
Tongue
Spanish
Weight
153 KB
Volume
61
Category
Article
ISSN
0010-0757

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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^__