English

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

Functional Analysis 2009-07-21 v1

Abstract

In this paper we obtain the non - asymptotic estimations for Riesz's and Bessel's potential integral operators in the so - called Bilateral Grand Lebesgue Spaces. We also give examples to show the sharpness of these inequalities.

Keywords

Cite

@article{arxiv.0907.3321,
  title  = {Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces},
  author = {E. Ostrovsky and E. Rogover and L. Sirota},
  journal= {arXiv preprint arXiv:0907.3321},
  year   = {2009}
}