Some equivalent definitions for weighted Korenblum and Bloch-type spaces of the upper half-plane

2025/08/10 by Benoît F. Sehba, Sehba, Benoit F.
Mathematics · #30H20 #30H30 #32A25 #42B35 #47B35 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2508.07294

openalex publication_date 2025/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove some equivalent characterizations of weighted Korenblum spaces and Bloch spaces in terms of symbols of bounded Hankel operators.

Citations

• Stein's theorem in the upper-half plane and Bergman spaces with weights
• Boundedness of the Bergman projection on some weighted mixed norm Lebesgue spaces of the upper-half space
• Boundeness of a family of Hilbert-type operators and of its Bergman-type analogue
• Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones

Related

• Weighted BMO and Hankel operators between Bergman spaces
• Difference of Weighted Composition Operators from α-Bloch Spaces to β-Bloch Spaces
• BMO and Hankel operators on Bergman space of the Siegel upper half-space
• Hankel forms and measures on weighted Bergman spaces
• Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space