Embedding theorem for Dirichlet type spaces

2018/11/13 by Jun‐Ming Liu, Liu, Junming, Cheng Yuan +3 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1811.05172

openalex publication_date 2018/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using Carleson measure theorem of weighted Bergman spaces, we provide a complete characterization of embedding theorem for Dirichlet type spaces. As an application, we study the Volterra integral operator and multipliers for Dirichlet type spaces.

Citations

• The Q p Carleson measure problem

Cited by

• Closed range of generalized integration operators on analytic tent spaces

Related

• On Laplace-Carleson embedding theorems
• Volterra type operators on weighted Dirichlet spaces
• Embeddings of vector-valued Bergman spaces
• Characterizations of Dirichlet-type Spaces
• Composition operators on weighted Bergman spaces of Dirichlet series