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Estimates for the trace of the averaged matrix

✍ Scribed by V. V. Zhikov


Publisher
SP MAIK Nauka/Interperiodica
Year
1986
Tongue
English
Weight
475 KB
Volume
40
Category
Article
ISSN
0001-4346

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Optimal estimates for the Hardy averagin
✍ AleΕ‘ Nekvinda; LuboΕ‘ Pick πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 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 β€˜source’ space __S~p~__, which is strictly larger than __L^p^__