The generalized maximal operator .44 in martingale spaces is considered. For 1 〈 p ≤ q 〈 ∞, the authors give a necessary and sufficient condition on the pair （μ, v） for M to be a bounded operator from martingal...The generalized maximal operator .44 in martingale spaces is considered. For 1 〈 p ≤ q 〈 ∞, the authors give a necessary and sufficient condition on the pair （μ, v） for M to be a bounded operator from martingale space L^P（μ） into L^q（μ） or weak-L^q（μ）, where μ is a measure on Ω × N and v a weight on Ω. Moreover, the similar inequalities for usual maximal operator are discussed.展开更多
基金supported by the National Natural Science Foundation of China (Nos. 10671147,11071190)
文摘The generalized maximal operator .44 in martingale spaces is considered. For 1 〈 p ≤ q 〈 ∞, the authors give a necessary and sufficient condition on the pair （μ, v） for M to be a bounded operator from martingale space L^P（μ） into L^q（μ） or weak-L^q（μ）, where μ is a measure on Ω × N and v a weight on Ω. Moreover, the similar inequalities for usual maximal operator are discussed.
