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A bridge connecting Lebesgue and Morrey spaces via Riesz norms
Banach Journal of Mathematical Analysis ( IF 1.1 ) Pub Date : 2020-11-19 , DOI: 10.1007/s43037-020-00106-6
Jin Tao , Dachun Yang , Wen Yuan

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.

中文翻译:

通过 Riesz 范数连接 Lebesgue 和 Morrey 空间的桥梁

在本文中,作者通过将 Riesz 范数与 Morrey 范数相结合,介绍并研究了所谓的 Riesz-Morrey 空间,它与 John-Nirenberg-Campanato 空间的区别在于减去积分均值。这些空间提供了连接 Lebesgue 空间和 Morrey 空间的桥梁,证明是 Riesz-Morrey 空间的端点空间。此外,作者引入了一个块型空间,它被证明是 Riesz-Morrey 空间的前对空间。
更新日期:2020-11-19
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