Skew Carleson measures in strongly pseudoconvex domains

2017/10/04 by Marco Abate, Abate, Marco, Jasmin Raissy +1 · 1 citation
Mathematics · #32A25 #32A36 (primary) #32Q45 #32T15 #46E15 #46E22 #47B35 (secondary) #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · doi:10.48550/arxiv.1710.01631

openalex publication_date 2017/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a bounded strongly pseudoconvex domain D in ℂⁿ with smooth boundary, we give a characterization through products of functions in weighted Bergman spaces of (λ,γ)-skew Carleson measures on D, with λ>0 and γ>1-(1)/(n+1).

Cited by

• A note for Carleson measure on bounded ℂ-convex domains

Related

• Toeplitz Operators and Skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains
• Carleson measures on convex domains
• A remark on Carleson measures of domains in ℂⁿ
• Toeplitz operators and Carleson measures in strongly pseudoconvex\n domains
• Carleson measures on simply connected domains