Littlewood-Paley算子的BMO有界性

BMO Boundedness of Littlewood-Paley Operators

给出了齐型空间上 Littlewood- Paley算子 G的定义 ,证明了当 f是 BMO函数时 ,G( f )或者几乎处处等于无穷 ;或者其 BMO范数被 f的

Give the definition of Littlewood Paley operator on spaces of homogeneous type and prove that the image of a BMO function under this operator is either equal to infinity almost everywhere or is in BMO.