Summing Carleson measure on radial weighted Begman spaces

2025/09/26 by Li, Mingjin, Long, Jianren · 1 citation
#30H20 #47B10 #47B33 #47B38 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.22005

Abstract

For μ is a positive Borel measure on \mathbbD, The r summing Carleson embdedding J_μ: A_w^p→ L^q(μ) are characterized in this paper, some conditions which ensure that the Carleson embedding for J_μ: A_w^p→ L^q(μ) is r summing are obtained for all 0

Citations

• Bergman projection induced by radial weight
• Atomic decomposition and Carleson measures for weighted mixed norm spaces
• Absolutely summing Carleson embeddings on Hardy spaces
• Small weighted Bergman spaces
• Generalized Hilbert operators on weighted Bergman spaces

Cited by

• Absolutely summing Hankel operators on Bergman spaces

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• Carleson measures for weighted Bergman--Zygmund spaces