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;
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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.
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