Grand Lebesgue Spaces are really Banach algebras relative to the convolution on unimodular locally compact groups

Abstract

We prove that the Grand Lebesgue Space, builded on a unimodular locally compact topological group, forms a Banach algebra relative to the convolution.

References in corpus (3)

• Boundedness of Operators in Bilateral Grand Bebesgue Spaces with Exact and Weakly Exact Constant Calculation
• Relations between exponential tails, moments and moment generating functions for random variables and vectors
• Multipliers of grand and small Lebesgue spaces