Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\)
type: Item
instance of: scholarly article
title: Geometric properties of projections of reproducing kernels on \(z^*\)-invariant subspaces of \(H^2\)
zbMATH Open document ID: 0939.30005
author: Inna Boricheva
published in: Journal of Functional Analysis
publication date: 1999-05-18T00:00:00Z
review text: Let \(\Lambda = \{ \lambda_i\}\) be a sequence on the unit disc \({\mathcal D}\) of the complex plane satisfying the Blaschke condition. Let \(K(w,z)= 1/(1-\overline{w}z)\) be the reproducing kernel in the Hardy space \(H^2({\mathcal D})\) and consider the family \(K_{\Lambda}= \{ K(\lambda_{i}, \cdot)\}\). The author presents different results concerning with geometric properties of \(K_{\Lambda}\).
Mathematics Subject Classification ID: 30B60
Mathematics Subject Classification ID: 46B15
zbMATH DE Number: 1270853
zbMATH Keywords: minimal family
zbMATH Keywords: Schur-Nevanlinna coefficients
zbMATH Keywords: complete family
zbMATH Keywords: extreme point
zbMATH Keywords: unconditional basis
zbMATH Keywords: Blaschke condition
zbMATH Keywords: reproducing kernel
reviewed by: Jorge Bustamante
MaRDI profile type: Publication
full work available at URL: jfan.1998.3356
OpenAlex ID: W2057304033
cites work: Q3278549
cites work: Q4275020
cites work: Q3364391
cites work: Q5727906
cites work: Q5581714
cites work: Q3918553
cites work: Weighted quadratic means of Hilbert transforms
cites work: Q4746318
cites work: On Interpolating Functions with Minimal Norm
cites work: Q4182986
cites work: Minimal Interpolation by Blaschke Products
cites work: Q5762274
DOI: 10.1006/JFAN.1998.3356
description: scientific article; zbMATH DE number 1270853