ON BOUNDEDNESS OF THE GENERALIZED RIESZ POTENTIAL IN LOCAL MORREY-TYPE SPACES

For all admissible values of the numerical parameters sharp sufficient conditions on the functional parameters are obtained ensuring the boundedness of the generalized Riesz potential from one general local Morrey-type space to another one, which, for a certain range of the numerical parameters, coincide with the necessary ones. © 2023, The Author(s).

Authors
Burenkov V.I. , Senouci M.A.
Journal
Journal of Mathematical Sciences
Publisher
Springer New York LLC
Issue number
5
Language
English
Pages
765-793
State
Published
Link
External link
DOI
10.1007/S10958-022-06134-X
Volume
266
Year
2022
Organizations
  • 1 S.M. Nikol’skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, Moscow, 117198, Russian Federation
  • 2 V.A. Steklov Mathematical Institute, Russian Academy of Sciences, 8 Gubkin St, Moscow, 117966, Russian Federation
  • 3 Cardiff School of Mathematics, Cardiff University, Senghennydd Rd, Cardiff, CF24 4AG, United Kingdom
Keywords
Boundedness; Generalized Riesz potential operator; Local Morrey-type spaces
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