On the boundedness of quasilinear integral operators of iterated type with Oinarov's kernels on the cone of monotone functions

We solve the characterization problem of Lpv -Lrp weighted inequalities on Lebesgue cones of monotone functions on the half-axis for quasilinear integral operators of iterated type with Oinarov's kernels.

Authors
Stepanov V.D. 1, 2 , Shambilova G.E. 3
Journal
Eurasian Mathematical Journal
Publisher
Eurasian Mathematical Journal
Number of issue
2
Language
English
Pages
47-73
Status
Published
Link
External link
Volume
8
Year
2017
Organizations
  • 1 Department of Nonlinear Analysis and Optimization, RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 2 Steklov Institute of Mathematics, 8 Gubkina St, Moscow, 119991, Russian Federation
  • 3 Department of Mathematics, Financial University under the Government of the Russian Federation, 49 Leningradsky Prospekt, Moscow, 125993, Russian Federation
Keywords
Cone of monotone functions; Hardy type inequality; Oinarov's kernel; Quasilinear integral operator; Weighted Lebesgue space
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6151/
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