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Analysis Mathematica

, Volume 44, Issue 2, pp 273–283 | Cite as

On Weighted Iterated Hardy-Type Operators

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Abstract

The weighted L v p L ρ r boundedness of a weighted iterated Hardy-type operator
$$Tf(x): = {(\int_x^\infty {u(t){{(\int_0^t f )}^q}dt} )^{1/q}}$$
for p = 1 is established.

Key words and phrases

iterated Hardy-type operator weighted Lebesgue space cone of monotone function 

Mathematics Subject Classification

26D10 46E20 

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of RASMoscowRussia
  2. 2.Peoples’ Friendship University of RussiaMoscowRussia

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