Closures of Harmonic Bergman Besov Spaces in the Weighted Harmonic Bloch Spaces on the Unit Ball

2024/02/13 by Ömer Faruk Doğan, Doğan, Ömer Faruk
Mathematics · #Advanced Mathematical Physics Problems #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2402.08477

openalex publication_date 2024/02/13 · openalex created_date 2024/02/16 · openalex updated_date 2026/07/28

Abstract

In this paper, via invertible radial differential operators, we characterize the closures of the harmonic Bergman Besov Spaces in the weighted harmonic Bloch spaces on the unit ball of Rn in terms of natural level sets. To this end, we first show that the harmonic Bergman Besov space is contained in the weighted harmonic little Bloch space.

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