Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 40, 2015, 361-373

AN INTEGRAL OPERATOR PRESERVING s-CARLESON MEASURE ON THE UNIT BALL

Cezhong Tong and Cheng Yuan

Hebei University of Technology, School of Science, Department of Mathematics
Tianjin, 300401, P.R. China; cezhongtong 'at' hotmail.com

Tianjin University of Technology and Education, School of Science, Institute of Mathematics
Tianjin, 300222, P.R. China; yuancheng1984 'at' 163.com

Abstract. We establish an integral operator which preserves s-Carleson measure on the unit ball. As an application, we characterize the distance from Bloch-type functions to the analytic function space F(p,q,s) on the ball.

2010 Mathematics Subject Classification: Primary 30H25, 30H30, 45P05.

Key words: Carleson measures, analytic F(p,q,s) spaces, Bloch-type spaces.

Reference to this article: C. Tong and C. Yuan: An integral operator preserving s-Carleson measure on the unit ball. Ann. Acad. Sci. Fenn. Math. 40 (2015), 361-373.

Full document as PDF file

doi:10.5186/aasfm.2015.4017