Hardy inequality with three measures on monotone functions

Characterization of Lv p[0, ∞) - L μ q[O, ∞) boundedness of the general Hardy operator (Hsf)(x) =(∫[0,x] fsudλ) 1/s restricted to monotone functions f ≥ 0 for 0 < p.q.s < ∞ with positive Borel σ -finite measures λ, μ and v is obtained.

Authors
Johansson M.1 , Stepanov V.D. 2 , Ushakova E.P.3, 4
Publisher
Element D.O.O.
Number of issue
3
Language
English
Pages
393-413
Status
Published
Volume
11
Year
2008
Organizations
  • 1 Department of Mathematics, Luleå University of Technology, SE-97187 Luleå, Sweden
  • 2 Department of Mathematical Analysis and Function Theory, Peoples Friendship University, 117198 Moscow, Russian Federation
  • 3 Computing Centre of Far Eastern Branch, Russian Academy of Sciences, 680000 Khabarovsk, Russian Federation
  • 4 Department of Mathematics, Uppsåla University, SE-751 06 Uppsåla, Sweden
Keywords
Hardy operator; Integral inequalities; Measures; Monotone functions; Weights
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3157/