Clark measures and de Branges–Rovnyak spaces in several variables

DOI10.1080/17476933.2021.1985480OpenAlexW3209831869MaRDI QIDQ5880481

Aleksei B. Aleksandrov, Evgueni Doubtsov

Publication date: 3 March 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06300

zbMATH Keywords

Cauchy integralsHardy spacesinner functionsHenkin measuresde Branges-Rovnyak spacesClark measures

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Pluriharmonic and plurisubharmonic functions (31C10) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Inner functions of one complex variable (30J05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular parts of pluriharmonic measures
• Several complex variables II. Function theory in classical domains. Complex potential theory. Transl. from the Russian by P.M. Gauthier and J.R. King
• Clark measures on the complex sphere
• A-measures on complex manifolds and some applications
• One dimensional perturbations of restricted shifts
• Model spaces: A survey
• Comparison of Clark Measures in Several Complex Variables