Weighted hardy-type inequalities on the cone of quasi-concave functions

The paper is devoted to the study of weighted Hardy-type inequalities on the cone of quasi-concave functions, which is equivalent to the study of the boundedness of the Hardy operator between the Lorentz G-spaces. For described inequalities we obtain necessary and sufficient conditions to hold for parameters q > 1, p > 0 and sufficient conditions for the rest of the range of parameters. © Element, Zagreb.

Authors
Persson L.-E.1 , Popova O.V. 2 , Stepanov V.D. 3
Journal
Mathematical Inequalities and Applications
Publisher
Element D.O.O.
Number of issue
3
Language
English
Pages
879-898
Status
Published
Link
External link
DOI
10.7153/mia-17-64
Volume
17
Year
2014
Organizations
  • 1 Department of Engineering Sciences and Mathematics, LuleØa University of Technology, SE-97187 Luleøa, Sweden
  • 2 Narvik University College, PO Box 385, NO 8505, Narvik, Norway
  • 3 Department of Mathematical Analysis, Function Theory Peoples, Friendship University of Russia, Miklukho-Maklay 6, 117198 Moscow, Russian Federation
Keywords
Concave function; Hardy operator; Hardy-type inequality; Lorentz space; Measure; Quasi-concave function; Weight
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4990/
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