Boundedness of the Riesz potential in central Morrey-Orlicz spaces

被引：3

作者：

Burtseva, Evgeniya ^{[1
]}

Maligranda, Lech ^{[1
,2
]}

Matsuoka, Katsuo ^{[3
]}

机构：

[1] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden

[2] Poznan Univ Tech, Inst Math, Ul Piotrowo 3a, PL-60965 Poznan, Poland

[3] Nihon Univ, Coll Econ, Chiyoda Ku, 1-3-2 Misaki Cho, Tokyo 1018360, Japan

来源：

POSITIVITY | 2022年 / 26卷 / 01期

关键词：

Riesz potential; Orlicz functions; Orlicz spaces; Morrey-Orlicz spaces; Central Morrey-Orlicz spaces; Weak central Morrey-Orlicz spaces; CLASSICAL OPERATORS; INTEGRAL-OPERATORS; HARDY-SPACES; INEQUALITIES;

D O I：

10.1007/s11117-022-00879-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Boundedness of the maximal operator and the Calderon-Zygmund singular integral operators in central Morrey-Orlicz spaces were proved in papers (Maligranda et al. in Colloq Math 138:165-181, 2015; Maligranda et al. in Tohoku Math J 72:235-259, 2020) by the second and third authors. The weak-type estimates have also been proven. Here we show boundedness of the Riesz potential in central Morrey-Orlicz spaces and the corresponding weak-type version.

引用

页数：26

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