On Analytic Functions of Bergman BMO in the Ball
1999 ◽
Vol 42
(1)
◽
pp. 97-103
◽
Keyword(s):
AbstractLet B = Bn be the open unit ball of Cn with volume measure v, U = B1 and B be the Bloch space on , 1 ≤ α < 1, is defined as the set of holomorphic f : B → C for whichif 0 < α < 1 and , the Hardy space. Our objective of this note is to characterize, in terms of the Bergman distance, those holomorphic f : B → U for which the composition operator defined by , is bounded. Our result has a corollary that characterize the set of analytic functions of bounded mean oscillation with respect to the Bergman metric.
2005 ◽
Vol 72
(2)
◽
pp. 283-290
◽
Keyword(s):
1993 ◽
Vol 17
(4)
◽
pp. 501-515
◽
1995 ◽
Vol 47
(4)
◽
pp. 673-683
◽
Keyword(s):
1978 ◽
Vol 10
(2)
◽
pp. 219-224
◽
Keyword(s):
2000 ◽
Vol 62
(1)
◽
pp. 1-19
◽
Keyword(s):
1998 ◽
Vol 47
(3)
◽
pp. 0-0
◽
Keyword(s):