Generalized fractional integral operators on Orlicz–Hardy spaces

The generalized fractional integral operators are shown to be bounded from an Orlicz–Hardy space (Formula presented.) to another Orlicz–Hardy space (Formula presented.), where Φ and Ψ are generalized Young functions. The result extends the boundedness of the usual fractional integral operator (Formula presented.) from (Formula presented.) to (Formula presented.) for (Formula presented.) and (Formula presented.), which was proved by Stein and Weiss in 1960. © 2020 Wiley-VCH GmbH

Authors
Arai R.1 , Nakai E.1 , Sawano Y. 2, 3
Journal
Mathematische Nachrichten
Publisher
Wiley-VCH Verlag
Number of issue
2
Language
English
Pages
224-235
Status
Published
Link
External link
DOI
10.1002/mana.201900052
Volume
294
Year
2021
Organizations
  • 1 Department of Mathematics, Ibaraki University, Mito, Ibaraki 310-8512, Japan
  • 2 Department of Mathematics, Chuo University, 1-13-27, Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan
  • 3 Department of Mathematical Analysis and Theory of Functions, Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Keywords
fractional integral operator; Hardy space; Orlicz–Hardy space
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72179/
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