Atomic decomposition of predictable martingale Hardy space with variable exponents
Zhiwei Hao (2015)
Czechoslovak Mathematical Journal
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This paper is mainly devoted to establishing an atomic decomposition of a predictable martingale Hardy space with variable exponents defined on probability spaces. More precisely, let be a probability space and be a -measurable function such that . It is proved that a predictable martingale Hardy space has an atomic decomposition by some key observations and new techniques. As an application, we obtain the boundedness of fractional integrals on the predictable martingale Hardy...