2022/11/24 by Edoardo Niccolai, Niccolai, Edoardo
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA)
paper · pdf · doi:10.48550/arxiv.2212.00681
openalex publication_date 2022/11/24 · openalex created_date 2022/12/13 · openalex updated_date 2026/07/28
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 H1 and bounded mean oscillation, with some ideas for a demonstration. The writing closes with a graphic appendix.