Embeddings between weighted Copson and Cesaro function spaces

0481811 - MÚ 2018 RIV CZ eng J - Journal Article
Gogatishvili, Amiran - Mustafayev, R.Ch. - Ünver, T.
Embeddings between weighted Copson and Cesaro function spaces.
Czechoslovak Mathematical Journal. Roč. 67, č. 4 (2017), s. 1005-1132. ISSN 0011-4642. E-ISSN 1572-9141
R&D Projects: GA ČR GA13-14743S
Institutional support: RVO:67985840
Keywords : Cesaro and Copson function spaces * embedding * iterated Hardy inequalities
OECD category: Pure mathematics
Impact factor: 0.340, year: 2017
https://link.springer.com/article/10.21136/CMJ.2017.0424-16

In this paper, characterizations of the embeddings between weighted Copson function spaces Cop_(p_1,q_1)(u_1, v_1) and weighted Cesaro function spaces Ces_(p_2,q_2)(u_2, v_2) are given.The most innovative part consists of the fact that possibly different parameters p_1 and p_2 and possibly different inner weights v_1 and v_2 are allowed. The proof is based on the combination of duality techniques with estimates of optimal constants of the embeddings between weighted Cesaro and Copson spaces and weighted Lebesgue spaces, which reduce the problem to the solutions of iterated Hardy-type inequalities.
Permanent Link: http://hdl.handle.net/11104/0277286