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math.FAJul 20, 2013
3
citations (OpenAlex)
authors
  • E. Ostrovsky
  • L. Sirota
arXiv abstractPDF
paper

Cesaro-Hardy operators on bilateral grand Lebesgue spaces

arXiv:1307.5481

Abstract

We obtain in this short article the non-asymptotic estimations for the norm of (generalized) Cesaro-Hardy integral operators in the so-called Bilateral Grand Lebesgue Spaces. We also give examples to show the sharpness of these inequalities.

References in corpus (6)

  • Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
  • Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces
  • Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
  • Weight Hardy-Littlewood Inequalities for Different Powers
  • Quantitative lower bound for lifespan for solution of Navier-Stokes equations
  • On the boundedness of generalized Cesàro operators on Sobolev spaces

Cited by in corpus (3)

  • Sharp estimates for module of continuity of fractional integrals and derivatives
  • Lebesgue spaces norm estimates for fractional integrals and derivatives
  • Mixed Lebesgue space norm Strichartz type estimation for solution of inhomogeneous parabolic equation, with constants evaluation
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