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Embeddings between weighted Copson and Cesaro function spaces
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SYSNO ASEP 0481811 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Embeddings between weighted Copson and Cesaro function spaces Author(s) Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Mustafayev, R.Ch. (AZ)
Ünver, T. (TR)Source Title Czechoslovak Mathematical Journal. - : Springer - ISSN 0011-4642
Roč. 67, č. 4 (2017), s. 1005-1132Number of pages 24 s. Language eng - English Country CZ - Czech Republic Keywords Cesaro and Copson function spaces ; embedding ; iterated Hardy inequalities Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA13-14743S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000416445500016 EID SCOPUS 85031500261 DOI 10.21136/CMJ.2017.0424-16 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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