On Weighted Iterated Hardy-Type Operators

The weighted Lv p − Lρ r boundedness of a weighted iterated Hardy-type operator Tf(x):=(∫x∞u(t)(∫0tf)qdt)1/q for p = 1 is established. © 2018, Akadémiai Kiadó, Budapest, Hungary.

Authors
Stepanov V.D. 1 , Shambilova G.E. 2
Journal
Analysis Mathematica
Number of issue
2
Language
English
Pages
273-283
Status
Published
Link
External link
DOI
10.1007/s10476-018-0211-3
Volume
44
Year
2018
Organizations
  • 1 Steklov Mathematical Institute of RAS, Gubkina str. 8, Moscow, 119991, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Miklukho-Maklay 6, Moscow, 117198, Russian Federation
Keywords
cone of monotone function; iterated Hardy-type 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/6623/
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