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arXiv · 2606.19810

Analytic continuation of weighted $H$-harmonic Bergman spaces

Matěj Moravík
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Abstract

We provide a partial answer to Problems 1 and 2 raised in the recent article by Blaschke et al., concerning the analytic continuation of weighted $H$-harmonic Bergman spaces. These are spaces of functions annihilated by the M\"obius-invariant Laplacian on the unit ball. More precisely, we identify some of the discrete Wallach sets and show, among others, that structure depends on the parity of the dimension.

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Matěj Moravík. 2026-06-18. Analytic continuation of weighted $H$-harmonic Bergman spaces. https://arxiv.org/abs/2606.19810

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