Abstract
AbstractAn investigation is made of the generalized Cesàro operators $$C_t$$
C
t
, for $$t\in [0,1]$$
t
∈
[
0
,
1
]
, when they act on the space $$H({{\mathbb {D}}})$$
H
(
D
)
of holomorphic functions on the open unit disc $${{\mathbb {D}}}$$
D
, on the Banach space $$H^\infty $$
H
∞
of bounded analytic functions and on the weighted Banach spaces $$H_v^\infty $$
H
v
∞
and $$H_v^0$$
H
v
0
with their sup-norms. Of particular interest are the continuity, compactness, spectrum and point spectrum of $$C_t$$
C
t
as well as their linear dynamics and mean ergodicity.
Publisher
Springer Science and Business Media LLC
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