Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 243-252

A SHARP VERSION OF THE FORELLI-RUDIN TYPE ESTIMATES ON THE UNIT REAL BALL

Bingwen Lin, Congwen Liu and Jun Wang

University of Science and Technology of China, School of Mathematical Sciences
Hefei, Anhui 230026, P.R. China; linbw 'at' mail.ustc.edu.cn

Chinese Academy of Sciences, USTC, Wu Wen-Tsun Key Laboratory of Mathematics
and University of Science and Technology of China, School of Mathematical Sciences
Hefei, Anhui 230026, P.R. China; cwliu 'at' ustc.edu.cn

University of Science and Technology of China, School of Mathematical Sciences
Hefei, Anhui 230026, P.R. China; onedream 'at' mail.ustc.edu.cn

Abstract. The purpose of this short note is to establish a sharp version of Forelli-Rudin type estimates for certain integrals on the real ball.

2010 Mathematics Subject Classification: Primary 26D15, 30H20; Secondary 33C05, 33C90.

Key words: Forelli-Rudin type estimates, integral operators, norm estimates, harmonic Bergman projection.

Reference to this article: B. Lin, C. Liu and J. Wang: A sharp version of the Forelli-Rudin type estimates on the unit real ball. Ann. Acad. Sci. Fenn. Math. 41 (2016), 243-252.

Full document as PDF file

doi:10.5186/aasfm.2016.4114