BOUNDEDNESS OF LITTLEWOOD-PALEY OPERATORS IN GENERALIZED ORLICZ-CAMPANATO SPACES

作者：Zhang, Songyan^*; Tao, Xiangxing

来源：Rocky Mountain Journal of Mathematics, 2010, 40(4): 1355-1375.

DOI：10.1216/RMJ-2010-40-4-1355

• Generalized Orlicz-Campanato space
• Littlewood-Paley operator
• Poisson integral
• N-function
• doubling condition

In this paper the Littlewood-Paley operators, including the g-function g(f), Lusin area function S(f) and Stein's function g(lambda)*(f), are all considered as the operators in generalized Orlicz-Campanato spaces L(Phi,phi). It is proved that the image of a function in L(Phi,phi) under one of these operators is either equal to infinity almost everywhere or is still in L(Phi,phi). Our results extend and improve the boundedness of the Littlewood-Paley operators in BMO spaces and Campanato spaces.

• 出版日期2010
• 单位浙江科技学院