期刊
JOURNAL OF GEOMETRIC ANALYSIS
卷 31, 期 9, 页码 9338-9365出版社
SPRINGER
DOI: 10.1007/s12220-020-00513-z
关键词
Mixed Morrey spaces; Fractional integral operators; Atoms
类别
资金
- Japan Society for the Promotion of Science [20J10403, 20J20606]
- P3MI-ITB Program 2017
- Japan Society for the Promotion of Science
- People's Friendship University of Russia
- [19K03546]
This paper investigates norm estimates for mixed Morrey spaces, introducing a new norm estimate applicable to mixed Lebesgue spaces with optimal parameter conditions, and applying it to obtain the Olsen inequality for mixed Morrey spaces.
In this paper, we consider some norm estimates for mixed Morrey spaces considered by the first author. Mixed Lebesgue spaces are realized as a special case of mixed Morrey spaces. What is new in this paper is a new norm estimate for mixed Morrey spaces that is applicable to mixed Lebesgue spaces as well. An example shows that the condition on parameters is optimal. As an application, the Olsen inequality adapted to mixed Morrey spaces can be obtained.
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