A norm estimation for the generalized quasitranslation operator by orthogonal polynomials
type: Item
instance of: scholarly article
title: A norm estimation for the generalized quasitranslation operator by orthogonal polynomials
zbMATH Open document ID: 0769.42013
DOI: 10.1007/BF01077075
author: B. P. Osilenker
publication date: 1993-01-16T00:00:00Z
review text: For a vector-valued function with values in \(UMD\)-spaces the generalized quasishift operator \(T^ y\) for three orthonormal polynomial systems in introduced. If these systems coincide, the operator \(T^ y\) is called generalized shift operator. Weighted norm inequalities for \(T^ y\) are given. Proofs are based on the representation of the trilinear kernel.
reviewed by: B. P. Osilenker
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 43A62
zbMATH DE Number: 95227
zbMATH Keywords: \(UMD\)-spaces
zbMATH Keywords: weighted norm inequalities
zbMATH Keywords: generalized quasishift operator
zbMATH Keywords: generalized shift operator
zbMATH Keywords: trilinear kernel
MaRDI profile type: Publication
cites work: Q5638855
cites work: On the asymptotic behavior of the spectral function of a self adjoint second order differential equation
cites work: Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem
cites work: Positive Zonal Functions on Spheres
cites work: A Convolution Structure for Jacobi Series
cites work: Positivity and the convolution structure for Jacobi series
cites work: Banach algebras for Jacobi series and positivity of a kernel
cites work: Calderón-Zygmund theory for operator-valued kernels
cites work: Extension of a result of Benedek, Calderón and Panzone
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 95227