Semi-Norms of the Bergman Projection

被引:2
作者
Markovic, Marijan [1 ]
机构
[1] Univ Montenegro, Fac Nat Sci & Math, Podgorica 81000, Montenegro
关键词
Bergman projection; Bloch space; SPACES;
D O I
10.1007/s40315-015-0114-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is known that the Bergman projection operator maps the space of essentially bounded functions in the unit ball in the -dimensional complex vector space onto the Bloch space. This paper deals with the various semi-norms of the Bergman projection. We improve some recent results.
引用
收藏
页码:65 / 78
页数:14
相关论文
共 12 条
[1]   PROJECTIONS, THE WEIGHTED BERGMAN SPACES, AND THE BLOCH SPACE [J].
CHOE, BR .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 108 (01) :127-136
[2]   Two sided norm estimate of the Bergman projection on Lp spaces [J].
Dostanic, Milutin R. .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 58 (02) :569-575
[3]   PROJECTIONS ON SPACES OF HOLOMORPHIC FUNCTIONS IN BALLS [J].
FORELLI, F ;
RUDIN, W .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1974, 24 (06) :593-602
[4]  
Halmos P. R., 1950, Measure Theory
[5]   NORM OF THE BERGMAN PROJECTION ONTO THE BLOCH SPACE [J].
Kalaj, David ;
Vujadinovic, Djordjije .
JOURNAL OF OPERATOR THEORY, 2015, 73 (01) :113-126
[6]  
Kalaj D, 2014, MATH SCAND, V115, P143
[7]  
Kohr M, 2005, STUD U BABES-BOL MAT, V50, P129
[8]   Sharp Forelli-Rudin estimates and the norm of the Bergman projection [J].
Liu, Congwen .
JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (02) :255-277
[9]   ON THE OPTIMAL CONSTANT FOR THE BERGMAN PROJECTION ONTO THE BLOCH SPACE [J].
Perala, Antti .
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2012, 37 (01) :245-249
[10]  
Rudin W., 1980, FUNCTION THEORY UNIT