Atte Pennanen

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math.CV2026

Embedding theorems for Bergman-Zygmund spaces induced by doubling weights

Atte Pennanen

Let $0 < p < \infty$ and $I^¨ : [0, 1) \to (0, \infty)$ , and let $I^¼$ be a finite positive Borel measure on the unit disc $D$ of the complex plane. We define the Lebesgue-Zygmund…

math.CV2024

Carleson measures for weighted Bergman--Zygmund spaces

Hong Rae Cho, Hyungwoon Koo, Young Joo Lee +3

For $0 < p < \infty$ , $I^¨ : [0, \infty) \to (0, \infty)$ and a finite positive Borel measure $I^¼$ on the unit disc $D$ , the Lebesgue--Zygmund space $L_{I^¼, I^¨}^{p}$ consists of all mea…