Aquaculture Research. Vol. 49. 2018. P.. 2156-2165
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
Issue number
2
Language
English
Pages
273-283
State
Published
Link
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
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