... Publishing CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 961502, 20 pagesdoi:10.1155/2010/961502 Research Article Commutators of Littlewood-Paley Operators on theGeneralized ... Proceedings of the Coference on Harmonic Analysis and Nonlinear Partial Differential Equations, Kyoto, Japan, 1998.14 Y. Komori and T. Mizuhara, “Factorization of functions in H1Rn and generalized ... the linear operators, hence, we need new ideas and nontrivialestimates in the proof.2. Proof of Theorem 1.2Let us begin with recalling some known conclusion.Similar to the proof of 17,...