Pluriharmonic Clark measures and analogs of model spaces

DOI10.1016/j.crma.2018.11.013zbMath1421.32014OpenAlexW2904068908WikidataQ128782481 ScholiaQ128782481MaRDI QIDQ1713487

Aleksei B. Aleksandrov, Evgueni Doubtsov

Publication date: 25 January 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.11.013

zbMATH Keywords

pluriharmonic measuresClark measuresinner functions on the ball

Mathematics Subject Classification ID

Pluriharmonic and plurisubharmonic functions (31C10) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Boundary behavior of holomorphic functions of several complex variables (32A40) Algebras of holomorphic functions of several complex variables (32A38) Inner functions of one complex variable (30J05)

Related Items

Clark measures on the complex sphere ⋮ Clark measures on the torus ⋮ Angular derivatives and boundary values of H(b) spaces of unit ball of ℂⁿ

Cites Work

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• Singular parts of pluriharmonic measures
• Clark theory in the Drury-Arveson space
• A-measures on complex manifolds and some applications
• One dimensional perturbations of restricted shifts