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math.FAFeb 22, 2015
1
citations (OpenAlex)
authors
  • E. Ostrovsky
  • L. Sirota
arXiv abstractPDF
paper

Sharp estimates for module of continuity of fractional integrals and derivatives

arXiv:1502.06170

Abstract

We derive the bilateral estimates for the module of continuity of the fractional integrals and derivatives for the functions from the classical Lebesgue-Riesz spaces.

arXiv commentarXiv admin note: text overlap with arXiv:1502.00696

References in corpus (9)

  • 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
  • Inversion positivity and the sharp Hardy-Littlewood-Sobolev inequality
  • Hardy-Littlewood Inequalities for Riesz's Potential : Low bounds estimations for different powers
  • The Riesz Capacity in Metric Spaces
  • Cesaro-Hardy operators on bilateral grand Lebesgue spaces
  • Lebesgue spaces norm estimates for fractional integrals and derivatives

Cited by in corpus (1)

  • Problem of Estimation of Fractional Derivative for a Spectral Function of Gaussian Stationary Processes
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