Wirtinger-type inequalities for some rearrangement invariant spaces

Abstract

In this short paper we generalize the classical inequality between the norms in Lebesgue spaces of the functions and its derivatives, which in the multidimensional case are called Sobolev's inequalities, on the many popular classes pairs of rearrangement invariant (r.i.) spaces, namely, on the so-called moment rearrangement invariant spaces.

References in corpus (3)

• Riesz's and Bessel's Operators in Bilateral Grand Lebesgue Spaces
• Nikol'skii-type inequalities for rearrangement invariant spaces
• Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales

Cited by in corpus (1)

• Poincare type inequalities for two different Bilateral Grand Lebesgue Spaces