A bridge connecting Lebesgue and Morrey spaces via Riesz norms

被引：0

作者：

Jin Tao

Dachun Yang

Wen Yuan

机构：

[1] Beijing Normal University,Laboratory of Mathematics and Complex Systems (Ministry of Education of China), School of Mathematical Sciences

来源：

Banach Journal of Mathematical Analysis | 2021年 / 15卷

关键词：

Euclidean space; Cube; Lebesgue space; Morrey space; John–Nirenberg–Campanato space; Duality; Riesz–Morrey space; 42B35; 42B30; 46E30; 46E35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, via combining Riesz norms with Morrey norms, the authors introduce and study the so-called Riesz–Morrey space, which differs from the John–Nirenberg–Campanato space in subtracting integral means. These spaces provide a bridge connecting both Lebesgue spaces and Morrey spaces which prove to be the endpoint spaces of Riesz–Morrey spaces. Moreover, the authors introduce a block-type space which proves to be the predual space of the Riesz–Morrey space.

引用

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