Hardy-type inequalities on the weighted cones of quasi-concave functions

The complete characterization of the Hardy-type Lp-Lq inequalitieson the weighted cones of quasi-concave functions for all 0 < p, q < ∞ isgiven.

Authors
Persson L.-E.1, 2 , Shambilova G.E. 3 , Stepanov V.D. 4
Journal
Banach Journal of Mathematical Analysis
Number of issue
2
Language
English
Pages
21-34
Status
Published
Link
External link
DOI
10.15352/BJMA/09-2-3
Volume
9
Year
2015
Organizations
  • 1 Department of Engineering Sciences and Mathematics, Lulea University of Technology, Lulea, SE-97187, Sweden
  • 2 Narvik University College, PO Box 385, Narvik, NO 8505, Norway
  • 3 Department of Mathematical Analysis and Function Theory, Peoples' Friendship University of Russia, Miklukho-Maklay 6, Moscow, 117198, Russian Federation
  • 4 Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina 8, Moscow, 119991, Russian Federation
Keywords
Concave function; Hardy-type inequality; Lorentz space; Measure; Quasi-concave function; Weight
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