Curvature inequalities for operators in the Cowen-Douglas class of a planar domain

DOI10.1512/IUMJ.2018.67.7320OpenAlexW2962863511WikidataQ129631037 ScholiaQ129631037MaRDI QIDQ4962400

Md. Ramiz Reza

Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07758

zbMATH Keywords

curvatureCowen-Douglas classbundle shiftsSzego kernelweighted kernel function

Mathematics Subject Classification ID

Spectral sets of linear operators (47A25) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) General theory of linear operators (47Axx) Geometric function theory (30Cxx)

Related Items (5)

Curvature inequalities for operators of the Cowen-Douglas class ⋮ Geometric similarity invariants of Cowen-Douglas operators ⋮ Recursive formula for covariant derivatives and geometric classification of quotient modules ⋮ The relationship of the Gaussian curvature with the curvature of a Cowen-Douglas operator ⋮ Curvature inequalities and extremal operators

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