数学
换向器
鞅(概率论)
李普希茨连续性
纯数学
有界函数
有界平均振荡
数学分析
域代数上的
应用数学
李共形代数
作者
Ryutaro Arai,Eiichi Nakai,Gaku Sadasue
标识
DOI:10.1016/j.jmaa.2020.123991
摘要
On the dyadic martingales, Chao and Ombe (1985) proved the Lp-Lq boundedness of the fractional integrals Iα and their commutators [b,Iα], where b is in BMO or Lipschitz spaces. We extend these results to LΦ-LΨ boundedness of generalized fractional integrals Iγ and their commutators [b,Iγ], where LΦ and LΨ are Orlicz spaces and b is in generalized martingale Campanato spaces on more general martingales. We also prove the LΦ-FLΨϕ boundedness of [b,Iγ], where FLΨϕ is the Triebel-Lizorkin-Orlicz space. Moreover, we characterize b such that the commutator is bounded or compact.
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