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arXiv · 2604.26728

$\mathcal H$-Harmonic Bergman-Besov Spaces on the Real Hyperbolic Ball

A. Ersin Üreyen
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Abstract

Using characterizations in terms of various differential operators, including partial, normal, and tangential derivatives, we extend the family of Bergman spaces of $\mathcal H$-harmonic functions on the real hyperbolic ball from the range $\alpha>-1$ to all $\alpha\in\mathbb R$. We then generalize several properties of Bergman spaces; projection, duality, atomic decomposition, and inclusion relations, to this extended family.

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A. Ersin Üreyen. 2026-04-29. $\mathcal H$-Harmonic Bergman-Besov Spaces on the Real Hyperbolic Ball. https://arxiv.org/abs/2604.26728

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