Fourier transform acting on the functions defined in the infinite LCA groups. A Grand Lebesgue Spaces approach

Abstract

We derive in this article the exact norm in the Grand Lebesgue Spaces (GLS) estimates for Fourier transform acting on the functions defined in the infinite local compact Abelian (LCA) group, compact or discrete.

References in corpus (3)

• Exact exponential bounds for the random field maximum distribution via the majoring measures (generic chaining)
• Sharp moment estimates for polynomial martingales
• Criterion for convergence almost everywhere, with applications