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Article


Title

Boundedness of the Riesz potential in central Morrey-Orlicz spaces

Authors

[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[6.3] Mathematics

Year of publication

2022

Published in

Positivity

Journal year: 2022 | Journal volume: vol. 26 | Journal number: iss. 1

Article type

scientific article

Publication language

english

Keywords
EN
  • Riesz potential
  • Orlicz functions
  • Orlicz spaces
  • Morrey-Orlicz spaces
  • central Morrey-Orlicz spaces
  • weak central Morrey-Orlicz spaces
Abstract

EN Boundedness of the maximal operator and the Calderón–Zygmund singular integral operators in central Morrey–Orlicz spaces were proved in papers (Maligranda et al. in Colloq Math 138:165–181, 2015; Maligranda et al. in Tohoku Math J 72:235–259, 2020) by the second and third authors. The weak-type estimates have also been proven. Here we show boundedness of the Riesz potential in central Morrey–Orlicz spaces and the corresponding weak-type version.

Pages (from - to)

22-1 - 22-26

DOI

https://doi.org/10.1007/s11117-022-00879-0

URL

https://link-springer-com.proxy.lib.ltu.se/article/10.1007/s11117-022-00879-0

Comments

article number: 22

License type

CC BY (attribution alone)

Open Access Mode

publisher's website

Open Access Text Version

final published version

Date of Open Access to the publication

1 month after publication

Points of MNiSW / journal

70.0

Impact Factor

1.030 [List 2020]

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