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Bloch Functions in Several Complex Variables, I
Author(s) -
Timoney Richard M.
Publication year - 1980
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/12.4.241
Subject(s) - mathematics , several complex variables , pure mathematics , holomorphic function
Bloch functions on the unit disk are those analytic functions f for which the quantity | f ′( z )|(1 − |z| 2 ) is bounded (for z in the disk). In this paper, Bloch functions on bounded homogeneous domains in complex m ‐space are studied. The main result shows that many of the equivalent definitions of Bloch functions on the unit disk are also equivalent in the general setting.