Abstract Cesàro Spaces. Optimal Range
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2015
scientific article
english
- Cesàro function spaces
- Cesàro operator
- maximal operator
- Banach ideal spaces
- symmetric spaces
- optimal domain
- optimal range
EN Abstract Cesàro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on [0,∞) and on [0, 1], as we can see in Theorem 1. Moreover, we present an improvement of Hardy’s inequality on [0, 1] which plays an important role in these considerations.
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