Bergman projections induced by doubling weights on the unit ball of Cn

2019/06/19 by Juntao Du, Songxiao Li, Du, Juntao +5
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1906.07950

openalex publication_date 2019/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The boundedness of P_ω:L^∞(\mathbbB)→ B(\mathbbB) and P_ω(P_ω⁺):L^p(\mathbbB,υ dV)→ L^p(\mathbbB,υ dV) on the unit ball of ℂⁿ with p>1 and ω,υ∈ D are investigated in this paper.

Citations

• Small weighted Bergman spaces

Related

• On the Bergman projections acting on L^∞ in the unit ball \mathbb B_n
• L^p Regularity of Weighted Bergman Projections
• l^p-l^q estimates of Bergman projector on the minimal ball
• Weighted Bergman spaces induced by doubling weights in the unit ball of ℂⁿ
• Two weight inequality for Bergman projection