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Weighted inequalities involving ρ-quasiconcave operators
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SYSNO ASEP 0491680 Document Type B - Monograph R&D Document Type Monograph Title Weighted inequalities involving ρ-quasiconcave operators Author(s) Evans, D. E. (GB)
Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Opic, B. (CZ)Issue data New Jersey: World Scientific, 2018 ISBN 978-981-3239-62-3 Number of pages 156 s. Number of copy 200 Publication form Print - P Language eng - English Country US - United States Issue 1. Keywords ρ-quasiconcave function ; representation of ρ-quasiconcave functions ; weighted Lebesgue space ; ρ-fundamental function ; ρ-quasiconcave operator Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA13-14743S GA ČR - Czech Science Foundation (CSF) GA201/05/2033 GA ČR - Czech Science Foundation (CSF) GA201/08/0383 GA ČR - Czech Science Foundation (CSF) GA201/01/0333 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.1142/10974 Annotation In this book we analyse the class Q ρ (I) of ρ-quasiconcave functions in complete generality, in order to establish results needed for a comprehensive study of weighted inequalities involving the class Q ρ (I) . We illustrate our results on weighted inequalities of Hardy type, weighted inequalities of Hardy type involving suprema, and on reverse forms of such inequalities. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2019
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