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math.FADec 13, 2009
12
citations (OpenAlex)
authors
  • E. Ostrovsky
  • L. Sirota
  • E. Rogover
arXiv abstractPDF
paper

Integral Operators in Bilateral Grand Lebesgue Spaces

arXiv:0912.2538

Abstract

In this paper we estimate the norm of operator acting from one Bilateral Grand Lebesgue Space (BGLS) into other Bilateral Grand Lebesgue Space. We also give some examples to show the sharpness of offered inequalities.

References in corpus (1)

  • Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces

Cited by in corpus (10)

  • Multiple weight Riesz and Fourier transforms in bilateral anisotropic Grand Lebesgue spaces
  • Module of continuity for the functions belonging to the Sobolev-Grand Lebesgue Spaces
  • Necessary Conditions for Fractional Hardy-Sobolev's Inequalities
  • Hardy's operator and normability of generalized Lorentz-Marcinkiewicz spaces, with sharp or weakly sharp constant estimation
  • Exact constant in Sobolev's and Sobolev's trace inequalities for Grand Lebesgue Spaces
  • Wirtinger-type inequalities for some rearrangement invariant spaces
  • Fourier Series and Transforms in Grand Lebesgue Spaces As an particular case - exponential Orlicz spaces
  • Tchebyshev's characteristic of rearrangement invariant space
  • Lebesgue-Riesz norm estimates for fractional Laplace transform
  • Quasi Grand Lebesgue Spaces
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