Construction of function spaces close to $L^{\infty }$ with associate space close to $L^1$

David Edmunds, Amiran Gogatishvili, Tengiz Kopaliani

The paper introduces a variable exponent space $X$ which has in common with $L^{\infty }([0,1])$ the property that the space $C([0,1])$ of continuous functions on $[0,1]$ is a close…