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math.FAFeb 17, 2009
4
citations (OpenAlex)
authors
  • Eugene Ostrovsky
  • Leonid Sirota
arXiv abstractPDF
paper

Compact Sets in Bide - Side Grand Lebesgue Spaces, with Applications

arXiv:0902.2916

Abstract

In this article we find some sufficient conditions for the set in the Bilateral Grand Lebesgue Space to be compact set. We consider applications into numerical methods and in the basis problem.

11 pages

References in corpus (7)

  • Explicit approximation of the symmetric rearrangement by polarizations
  • Nikol'skii-type inequalities for rearrangement invariant spaces
  • Exponential Orlicz Spaces: New Norms and Applications
  • Some new moment rearrangement invariant spaces; theory and applications
  • Fourier tranform in exponential rearrangement invariant spaces
  • Strichartz type Inequalities for Parabolic and Schrödinger Equations in rearrangement invariant Spaces
  • Decay of mass for nonlinear equation with fractional Laplacian

Cited by in corpus (2)

  • Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces
  • Restricted version of Grand Lebesgue Spaces
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