Y. Mizuta, T. Ohno, T. Shimomura, “Maximal and Riesz Potential Operators in Double Phase Lorentz Spaces of Variable Exponents”, Mat. Zametki, 2022, Volume 111, Issue 5,Pages <nobr>729

Papers published in the English version of the journal

Maximal and Riesz Potential Operators in Double Phase Lorentz Spaces of Variable Exponents

Y. Mizuta^a, T. Ohno^b, T. Shimomura^a

^a Department of Mathematics, Graduate School of Advanced Science and Engineering, Hiroshima University, Higashi-Hiroshima, 739-8521 Japan
^b Faculty of Education, Oita University, Oita-city, 870-1192 Japan

Abstract: In the present note, we discuss the boundedness of maximal and Riesz potential operators in double-phase Lorentz spaces of variable exponents defined by a symmetric decreasing rearrangement in the sense of Almut [1].

Keywords: maximal functions, Riesz potentials, Lorentz space of variable exponents, Sobolev's inequality, double phase functionals.

Received: 28.04.2020
Revised: 24.11.2021

Language: English