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Extremal basis for the p-Bergman space
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- Canadian Mathematical Bulletin , First View
- Published online by Cambridge University Press:
- 12 May 2026, pp. 1-8
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In Chen and Zhang (2022, Adv. Math., 405, 108516), the authors noted that the $2$
-Bergman space has an orthonormal basis which can be defined as certain extremal functions. They posed a question of whether similar extremal functions form a Schauder Basis for the p-Bergman space. We provide evidence supporting this conjecture, demonstrating its validity for a selection of complete Reinhardt domains.
