Derivatives of rational inner functions: geometry of singularities and integrability at the boundary

DOI10.1112/plms.12072zbMath1387.32007arXiv1703.04198OpenAlexW3123106465MaRDI QIDQ4608154

Kelly Bickel, Alan A. Sola, James Eldred Pascoe

Publication date: 16 March 2018

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04198

zbMATH Keywords

Hardy spacesDirichlet-type spacesrational inner functions in the bidisk

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Meromorphic functions of several complex variables (32A20)

Related Items (9)

Dynamics of low-degree rational inner skew-products on $\mathbb{T}^2$ ⋮ Singularities of rational inner functions in higher dimensions ⋮ Rational inner functions and their Dirichlet type norms ⋮ Clark measures for rational inner functions ⋮ A note on polydegree \((n, 1)\) rational inner functions, slice matrices, and singularities ⋮ The Wedge-of-the-edge Theorem: Edge-of-the-wedge Type Phenomenon Within the Common Real Boundary ⋮ A controlled tangential Julia-Carathéodory theory via averaged Julia quotients ⋮ Level curve portraits of rational inner functions ⋮ The non-tangential boundary behavior of the matrix-valued rational inner functions on bounded symmetric domain

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