World Scientific Publishing Co. Pte Ltd;World Scientific Publishing Company
Abstract:
摘要： To study the boundedness of the Cauchy integrals over Lipschitz curves, new Hardy spaces $H^p_b$ were introduced in [Y. Han, M.-Y. Lee and C.-C. Lin, Hardy spaces and the Tb theorem, J. Geom. Anal.14 (2004) 291–318], where b is a para-accretive function. In this paper, we define the Carleson measure spaces $CMO^p_b$ that generalize BMO, and show that $CMO^p_b$ is the dual space of $H^p_b$ . As an application, we give a Carleson measure characterization of BMOb. 出版者： World Scientific Publishing Company 出版日期： 2012-02 出處： Communications in contemporary mathematics, 2012-02, Vol.14 (1), p.1250002-1250019 版權： 2012, World Scientific Publishing Company 識別號： ISSN: 0219-1997 識別號： EISSN: 1793-6683 識別號： DOI: 10.1142/S0219199712500022
