Embedding theorems for Bergman-Zygmund spaces induced by doubling weights
Abstract
Abstract Let $$0 0 < p < ∞ and $$\Psi : [0,1) \rightarrow (0,\infty )$$ Ψ : [ 0 , 1 ) → ( 0 , ∞ ) , and let $$\mu $$ μ be a finite positive Borel measure on the unit disk $${\mathbb {D}}$$ D of the complex plane. We define the Lebesgue-Zygmund space $$L^p_{\mu ,\Psi }$$ L μ , Ψ p as the space of all measurable functions f on $${\mathbb {D}}$$ D such that $$\int _{{\mathbb {D}}}|f(z)|^p\Psi (|f(z)|)\,d\mu (z)
Fields of Study & Subjects
Holomorphic and Operator Theory
Geometry and complex manifolds
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Integral Equations and Operator Theory
- Volume
- 98
- Issue
- 1
- Publication date
- 22 January 2026
- Language
- EN