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math.FASep 11, 2015
8
citations (OpenAlex)
authors
  • E. Ostrovsky
  • L. Sirota
arXiv abstractPDF
paper

Fundamental function for Grand Lebesgue Spaces

arXiv:1509.03644

Abstract

We investigate in this short article the fundamental function for the so-called Grand Lebesgue Spaces (GLS) and show in particular a one-to-one and mutually continuous accordance between its fundamental and generating function.

References in corpus (5)

  • Exact exponential bounds for the random field maximum distribution via the majoring measures (generic chaining)
  • Central Limit Theorem and exponential tail estimations in mixed (anisotropic) Lebesgue spaces
  • Exponential Orlicz Spaces: New Norms and Applications
  • Fourier tranform in exponential rearrangement invariant spaces
  • Exact norm estimates for multivariate dilation operators between two Bilateral Weight Grand Lebesgue Spaces

Cited by in corpus (4)

  • Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups
  • Fourier transform acting on the functions defined in the infinite LCA groups. A Grand Lebesgue Spaces approach
  • Quasi Grand Lebesgue Spaces
  • Exponential tail estimates in the Law of Ordinary Logarithm (LOL) for arrays of random variables
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