BOUNDEDNESS OF RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR IN MORREY SPACES

被引：3

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 50 条

[1] BOUNDEDNESS OF THE GENERALIZED RIEMANN-LIOUVILLE OPERATOR IN LOCAL MORREY-TYPE SPACES
Senouci, M. A.
[J]. EURASIAN MATHEMATICAL JOURNAL, 2023, 14 (04): : 63 - 68
[2] INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
Gurbuz, M.
Ozturk, O.
[J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (01): : 91 - 100
[3] ON RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR OF A GENERAL CLASS OF FUNCTIONS
Kumar, Virendra
[J]. JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2019, 18 (3-4): : 193 - 199
[4] On boundedness and compactness of Riemann-Liouville fractional operators
Farsani, S. M.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (02) : 368 - 378
[5] On boundedness and compactness of Riemann-Liouville fractional operators
S. M. Farsani
[J]. Siberian Mathematical Journal, 2013, 54 : 368 - 378
[6] Some boundedness results for Ψ-Riemann-Liouville and Ψ-Riemann-Liouville tempered fractional integrals in R
Ledesma, Cesar E. Torres
Rodriguez, Jesus A.
Zuniga, Felipe A.
[J]. ADVANCES IN OPERATOR THEORY, 2024, 9 (02)
[7] On Some Properties of Riemann-Liouville Fractional Operator in Orlicz Spaces and Applications to Quadratic Integral Equations
Metwali, Mohamed M. A.
[J]. FILOMAT, 2022, 36 (17) : 6009 - 6020
[8] Essay on Fractional Riemann-Liouville Integral Operator versus Mikusinski's
Li, Ming
Zhao, Wei
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[9] The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces II
Paulo Mendes Carvalho Neto
Renato Fehlberg Júnior
[J]. Fractional Calculus and Applied Analysis, 2024, 27 : 1348 - 1368
[10] The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces II
Neto, Paulo Mendes Carvalho
Junior, Renato Fehlberg
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (03) : 1348 - 1368

← 1 2 3 4 5 →