Abstract
AbstractLet $$B_N$$
B
N
be the Euclidean ball of $${\mathbb {C}}^N$$
C
N
. The space $$H^\infty (B_N)$$
H
∞
(
B
N
)
of bounded holomorphic functions on $$B_N$$
B
N
is known to have a predual, denoted by $$G^\infty (B_N)$$
G
∞
(
B
N
)
. We study the functions in $$H^\infty (B_N)$$
H
∞
(
B
N
)
that attain their norm as elements of the dual of $$G^\infty (B_N)$$
G
∞
(
B
N
)
. We also examine similar questions for the polydisc algebra $$H^\infty ({\mathbb {D}}^N)$$
H
∞
(
D
N
)
and for the space of Dirichlet series $$ {\mathcal {D}}^\infty ({\mathbb {C}}_+).$$
D
∞
(
C
+
)
.
Funder
Ministerio de Ciencia e Innovación
Conselleria de Cultura, Educación y Ciencia, Generalitat Valenciana
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mathematics (miscellaneous)
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