Abstract:

By the decompositons of weighted Herz spaces, using the properties of weighted functions and the estimates of some inequalities, the boundedness of Littlewood-Paley g functions from weighted Herz spaces to weighted weak Herz spaces is obtained. This result enriches the theory of LittlewoodPaley functions.

Key words: Littlewood-Paley operator; Herz space; weighted function; boundedness