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Littlewood-Paley Operators on BMO

Littlewood-Paley Operators on BMO

Two Littlewood-Paley operators, the area integral and the function g^, are considered as operators on functions of bounded mean oscillation.It is proved that the image of a BMO function under one of these operators is either equal to infinity almost everywhere or is in BMO. Introduction.In [2], John and Nirenberg …