Generalized fractional integral operators on Orlicz-Hardy spaces

被引：7

作者：

Arai, Ryutaro ^{[1
]}

Nakai, Eiichi ^{[1
]}

Sawano, Yoshihiro ^{[2
,3
]}

机构：

[1] Ibaraki Univ, Dept Math, Mito, Ibaraki 3108512, Japan

[2] Chuo Univ, Dept Math, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, Japan

[3] Peoples Friendship Univ Russia, RUDN Univ, Dept Math Anal & Theory Funct, 6 Miklukho Maklay St, Moscow 117198, Russia

来源：

MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 02期

基金：

日本学术振兴会;

关键词：

fractional integral operator; Hardy space; Orlicz–

D O I：

10.1002/mana.201900052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The generalized fractional integral operators are shown to be bounded from an Orlicz-Hardy space H phi(Rn) to another Orlicz-Hardy space H psi(Rn), where phi and psi are generalized Young functions. The result extends the boundedness of the usual fractional integral operator I alpha from Hp(Rn) to Hq(Rn) for alpha,p,q is an element of(0,infinity) and -n/p+alpha=-n/q, which was proved by Stein and Weiss in 1960.

引用

页码：224 / 235

页数：12

共 23 条

[1]

[Anonymous], 2003, J. Indones. Math. Soc

[2] Commutators of Caldern-Zygmund and generalized fractional integral operators on generalized Morrey spaces [J].

Arai, Ryutaro ;

Nakai, Eiichi .

REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (02) :287-331

[3] Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind [J].

Deringoz, Fatih ;

Guliyev, Vagif S. ;

Nakai, Eiichi ;

Sawano, Yoshihiro ;

Shi, Minglei .

POSITIVITY, 2019, 23 (03) :727-757

[4] Finite Two-Point Space Without Quantization on Noncommutative Space from a Generalized Fractional Integral Operator [J].

El-Nabulsi, Rami Ahmad .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2018, 12 (07) :1609-1616

[5] CHARACTERIZATIONS FOR THE GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON MORREY SPACES [J].

Eridani ;

Gunawan, Hendra ;

Nakai, Eiichi ;

Sawano, Yoshihiro .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (02) :761-777

[6]

Eridani E., 2002, TAMKANG J MATH, V33, P335

[7] Generalized Fractional Integral Operators on Generalized Local Morrey Spaces [J].

Guliyev, V. S. ;

Ismayilova, A. F. ;

Kucukaslan, A. ;

Serbetci, A. .

JOURNAL OF FUNCTION SPACES, 2015, 2015

[8]

GULIYEV V. S., 2001, T ACAD SCI AZER PTMS, V21, P4

[9]

Kokilashvili V., 1991, Weighted Inequalities in Lorentz and Orlicz Spaces

[10] FRACTIONAL-INTEGRATION ON HARDY-SPACES [J].

KRANTZ, SG .

STUDIA MATHEMATICA, 1982, 73 (02) :87-94

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