Complex Interpolation and the Adams Theorem

被引：5

作者：

Sawano, Yoshihiro ^{[1
]}

Sugano, Satoko ^{[2
]}

机构：

[1] Tokyo Metropolitan Univ, Dept Math Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, Japan

[2] Kobe City Coll Technol, Nishi Ku, 8-3 Gakuen Higashimachi, Kobe, Hyogo 6512194, Japan

来源：

POTENTIAL ANALYSIS | 2021年 / 54卷 / 02期

关键词：

Morrey spaces; Fractional integral operators; Complex interpolation functors; Calderon product; FRACTIONAL INTEGRAL-OPERATORS; MORREY SPACES; INEQUALITIES;

D O I：

10.1007/s11118-020-09827-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, many researchers investigated the description of the complex interpolation of Morrey spaces. Among others, the second complex interpolation of Morrey spaces turned out to be the Calderon product of Morrey spaces. In this paper as an application of this fact, we propose an improvement of the Adams theorem asserting that the fractional integral operator maps Morrey spaces to other Morrey spaces.

引用

页码：299 / 305

页数：7

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