On the geometric mean operator with variable limits of integration

A new criterion for the weighted L p -L q boundedness of the Hardy operator with two variable limits of integration is obtained for 0 < q < q + 1 ≤ p < ∞. This criterion is applied to the characterization of the weighted L p -L q boundedness of the corresponding geometric mean operator for 0 < q < p < ∞. © 2008 MAIK Nauka.

Authors
Stepanov V.D. 1 , Ushakova E.P.2, 3
Journal
Proceedings of the Steklov Institute of Mathematics
Number of issue
1
Language
English
Pages
254-278
Status
Published
Link
External link
DOI
10.1134/S0081543808010185
Volume
260
Year
2008
Organizations
  • 1 Department of Mathematical Analysis and Function Theory, Peoples' Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow 117198, Russian Federation
  • 2 Computing Centre, Far East Branch, Russian Academy of Sciences, ul. Kim Yu Chena 65, Khabarovsk 680063, Russian Federation
  • 3 Department of Mathematics, Uppsala University, Box 480, Uppsala 751 06, Sweden
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3128/
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