论文标题
有限的平均振荡：$ \ mathbb {r} $ - 具有多 - $ \ Mathbb {k} _6 $ cubes的功能。 hardy空间的双重$ h^1 $和BANACH范围
Bounded Mean Oscillation: an $\mathbb{R}$-Function with Multi-$\mathbb{K}_6$ Cubes. Dual of the Hardy Space $H^1$ and Banach Extent
论文作者
论文摘要
本文研究了约翰·尼伦伯格（John-Nirenberg）的开拓性研究，在重新形式主义下，调查了有界平均振荡的谐波功能概念，适合于赋予其中固有的一些基本特性。更详细地说：快速介绍后，第二部分介绍了主要定理，以及与此功能有关的完整证明；在第三部分中，有一个关于指数的集成性（定理和证明的草图）的建议，而第四部分则涉及Hardy Space $ H^1 $的双重性和有界的平均振荡，并进行了一些演示的想法。写作用图形附录结束。
This paper investigates the concept of harmonic functions of bounded mean oscillation, starting from John-Nirenberg's pioneering studies, under a renewed formalism, suitable for bringing out some fundamental properties inherent in it. In more detail: after a quick introduction, the second Section presents the main theorem, plus complete proof, relating to this function; in the third Section there is a suggestion on the exponential integrability (theorem and sketch of proof), while the fourth Section deals with the duality of Hardy Space $H^1$ and bounded mean oscillation, with some ideas for a demonstration. The writing closes with a graphic appendix.
