The Friedrichs operator and circular domains

DOI10.1090/proc/16606arXiv2211.02689OpenAlexW4385707160MaRDI QIDQ6203193

Sivaguru Ravisankar, Samriddho Roy

Publication date: 27 February 2024

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

Full work available at URL: https://arxiv.org/abs/2211.02689

zbMATH Keywords

Bergman spacetetrablockcircular domainpentablocksymmetrized polydiscFriedrichs operator

Mathematics Subject Classification ID

Adaptive or robust stabilization (93D21) Bergman spaces of functions in several complex variables (32A36) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Cites Work

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• The complex geometry of a domain related to \(\mu\)-synthesis
• Square-integrable holomorphic functions on a circular domain in \({\mathbb{C}}^ n\)
• A commutant lifting theorem for a domain in \(\mathbb{C}^2\) and spectral interpolation
• The two-point spectral Nevanlinna--Pick problem.
• A Schwarz lemma for the symmetrized polydisc via estimates on another family of domains
• Interpolating functions for a family of domains related to \({\mu}\)-synthesis
• \(L^p\) regularity of the Bergman projection on domains covered by the polydisc
• A Schwarz lemma for a domain related to \(\mu\)-synthesis
• Proper holomorphic mappings, Bell's formula, and the Lu Qi-Keng problem on the tetrablock
• A note on smoothing properties of the Bergman projection
• Reproducing kernel for a class of weighted Bergman spaces on the symmetrized polydisc
• On the spectral Nevanlinna–Pick problem
• Characterizations of the symmetrized polydisc via another family of domains
• The Lempert function of the symmetrized polydisc in higher dimensions is not a distance
• On Certain Inequalities and Characteristic Value Problems for Analytic Functions and For Functions of Two Variables

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