... and nontrivialestimates in the proof.2. Proof of Theorem 1.2Let us begin with recalling some known conclusion.Similar to the proof of 17, we can easily get the following.Lemma 2.1. If Ω satisfies ... Journal of Inequalities and Applications15 E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Mathematical Series,no. 30, Princeton University Press, Princeton, ... on the Marcinkiewicz integral,” Colloquium Mathematicum, vol.60-61, no. 1, pp. 235–243, 1990.8 E. M. Stein, The development of square functions in the work of A. Zygmund,” Bulletin of the American...