BAERNSTEIN THEOREM IN UNIT BALL OF C^n

作     者：欧阳才衡 

作者机构：Wuhan Institute of Mathematical Sciences Academia Sinicat is well known that the main characterization of BMO functions shown by John and Nirenberg is that their distribution function possesses an exponential decay effect. In 1980 for a bounded subset of the Nevanlinna class in the unit disk Baernstein proved that the distribution function of the non-tangential maximal function decreases in an exponential way. 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1987年第32卷第9期

页      面：581-584页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：exponential admissible tangential Nirenberg maximal subset decay intersection inequality measurable 

摘      要：It is well known that the main characterization of BMO functions, shown by John and Nirenberg, is that their distribution function possesses an exponential decay effect. In 1980, for a bounded subset of the Nevanlinna class in the unit disk, Baernstein proved that the distribution function of the non-tangential maximal function decreases in an exponential way.