February 13, 2024Open Access

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

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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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Ömer Faruk Doğan (Tue,) studied this question.

synapsesocial.com/papers/68e796c9b6db6435877077e8 https://doi.org/https://doi.org/10.48550/arxiv.2402.08477

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