Weighted inequalities involving ρ-quasiconcave operators

0491680 - MÚ 2019 RIV US eng B - Monography
Evans, D. E. - Gogatishvili, Amiran - Opic, B.
Weighted inequalities involving ρ-quasiconcave operators.
1. - New Jersey: World Scientific, 2018. 156 s. ISBN 978-981-3239-62-3
R&D Projects: GA ČR GA13-14743S; GA ČR GA201/05/2033; GA ČR GA201/08/0383; GA ČR GA201/01/0333
Institutional support: RVO:67985840
Keywords : ρ-quasiconcave function * representation of ρ-quasiconcave functions * weighted Lebesgue space * ρ-fundamental function * ρ-quasiconcave operator
OECD category: Pure mathematics
https://www.worldscientific.com/worldscibooks/10.1142/10974#t=toc

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.
Permanent Link: http://hdl.handle.net/11104/0285327