BOUNDEDNESS OF RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR IN MORREY SPACES

The aim of the present paper is to prove the boundedness of the multidimensional Riemann-Liouville operator from the quasi-normed Morrey space (Formula presented) to another quasi-normed Morrey space (Formula presented) and to estimate the dependence of the norm of this operator on Ω. © 2021. All Rights Reserved.

Authors
Publisher
Eurasian Mathematical Journal
Issue number
1
Language
English
Pages
82-91
State
Published
Volume
12
Year
2021
Organizations
  • 1 S.M. Nikolskii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, Moscow, 117198, Russian Federation
Keywords
boundedness; Morrey spaces; Riemann-Liouville operator
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