Singular integral transform of product functions
燕敦驗 教授中國科學院研究生院，本系訪問學者 上午 11:00–12:00 鴻經館 107 室We first give necessary and sufficient conditions which ensures validity of the Bedrosian identity for the Hilbert transform of product functions fg. Then we extend the Bedrosian identity for the Hilbert transform of product functions to Calderon-Zygmund singular integral transform. A counterexample shows that sufficient conditions on one-dimensional Euclidean space does not ensure the validity of the Bedrosian for the n-dimensional case.