Abstract Cesaro Spaces. Optimal Range

作者：Lesnik Karol^*; Maligranda Lech

来源：Integral Equations and Operator Theory, 2015, 81(2): 227-235.

DOI：10.1007/s00020-014-2203-4

• Cesaro function spaces
• Cesaro operator
• maximal operator
• Banach ideal spaces
• symmetric spaces
• optimal domain
• optimal range

The Abstract Cesaro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on [0, a) 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.

• 出版日期2015-2