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A norm estimation for the generalized quasitranslation operator by orthogonal polynomials

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Publication:1200380
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DOI10.1007/BF01077075zbMath0769.42013MaRDI QIDQ1200380

Boris P. Osilenker

Publication date: 16 January 1993

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

weighted norm inequalitiesgeneralized shift operatortrilinear kernel\(UMD\)-spacesgeneralized quasishift operator


Mathematics Subject Classification ID

Harmonic analysis on hypergroups (43A62) General harmonic expansions, frames (42C15)




Cites Work

  • Unnamed Item
  • Extension of a result of Benedek, Calderón and Panzone
  • Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem
  • Calderón-Zygmund theory for operator-valued kernels
  • Positivity and the convolution structure for Jacobi series
  • Banach algebras for Jacobi series and positivity of a kernel
  • On the asymptotic behavior of the spectral function of a self adjoint second order differential equation
  • A Convolution Structure for Jacobi Series
  • Positive Zonal Functions on Spheres


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