Theoretical study demonstrates the properties of variable martingale Hardy spaces in probability systems, indicating broader applications across Fourier analysis.
Let p(·) be a measurable function defined on a probability space satisfying 0 < p₋:= essinfx∈ Ωp(x)≤ essx∈Ωp(x)=:p₊ < ∞. We investigate five types of martingale Hardy spaces Hp(·) a
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Jiao et al. (2020) studied this question.
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