Variable Martingale Hardy Spaces and Their Applications in Fourier Analysis

Yong Jiao, Ferenc Weisz, Dejian Zhou +1

Let $p(\cdot )$ be a measurable function defined on a probability space satisfying $0<p_{-}:=\mathrm{ess}{\inf }_{x\in \Omega }p(x)\le \mathrm{ess}{\sup }_{x\in \Omega }p(x)=:p_{+}<\infty$. We investigate five…