M. A. Senouci, “Boundedness of the generalized Riemann–Liouville operator in local Morrey-type spaces”, Eurasian Math. J., 2023, Volume 14, Number 4,Pages <nobr>63

This article is cited in 3 papers

Boundedness of the generalized Riemann–Liouville operator in local Morrey-type spaces

M. A. Senouci^ab

^a M. Nikol’skii Mathematical Institute, RUDN University, 6 Miklukho Maklay St, 117198 Moscow, Russian Federation
^b V.A. Steklov Institute of Mathematics, Russian Academy of Sciences, 42 Vavilov St, 117966 Moscow, Russian Federation

Abstract: The objective of this paper is to establish the boundedness of the generalized multi-dimensional Riemann-Liouville integral operator from one local Morrey-type space to another one under some conditions on numerical parameters $p$ and $q$.

Keywords and phrases: Morrey-type spaces, generalized Riemann–Liouville operator, boundedness.

MSC: 35J20, 35J25

Received: 10.10.2023

Language: English

DOI: 10.32523/2077-9879-2023-14-4-63-68