BOUNDEDNESS OF RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR IN MORREY SPACES

被引：4

作者：

Senouci, M. A. ^{[1
]}

机构：

[1] RUDN Univ, SM Nikolskii Math Inst, 6 Miklukho Maklay St, Moscow 117198, Russia

来源：

EURASIAN MATHEMATICAL JOURNAL | 2021年 / 12卷 / 01期

关键词：

Riemann-Liouville operator; Morrey spaces; boundedness; YOUNGS-INEQUALITY; CONVOLUTIONS;

D O I：

10.32523/2077-9879-2021-12-1-82-91

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the present paper is to prove the boundedness of the multidimensional Riemann-Liouville operator from the quasi-normed Morrey space M-p(lambda)(Omega) to another quasi-normed Morrey space M-q(mu)(Omega) and to estimate the dependence of the norm of this operator on Omega.

引用

页码：82 / 91

页数：10

共 6 条

[1] Burenkov VI, 2016, EURASIAN MATH J, V7, P92
[2] An analog of Young's inequality for convolutions of functions for general Morrey-type spaces
Burenkov, V. I.
Tararykova, T. V.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2016, 293 (01) : 107 - 126
[3] Fu Z., 2016, Math. Appl., DOI [10.1016/j.camwa.2016.04.013, DOI 10.1016/J.CAMWA.2016.04.013]
[4] KILBAS A.A., 2006, THEORY APPL FRACTION, V207, DOI 10.1016/S0304-0208(06)80001-0
[5] Kilbas AA, 1993, Fractional Integrals andDerivatives: Theory and Applications
[6] On the solutions of quasi-linear elliptic partial differential equations
Morrey, Charles B., Jr.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1938, 43 (1-3) : 126 - 166

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