Some questions about complex harmonic functions
In this paper, we propose composition products in the class of complex harmonic functions so that the composition of two such functions is again a complex harmonic function. From here, we begin the study of the iterations of the functions of this class showing briefly its potential to be a topic of...
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| Veröffentlicht in: | Monatshefte für Mathematik 2024, Vol.205 (4), p.681-697 |
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| creator | Benítez-Babilonia, Luis E. Felipe, Raúl |
| description | In this paper, we propose composition products in the class of complex harmonic functions so that the composition of two such functions is again a complex harmonic function. From here, we begin the study of the iterations of the functions of this class showing briefly its potential to be a topic of future research. In parallel, we define and study composition operators on a Hardy type space denoted by
H
H
2
(
D
)
of complex harmonic functions also introduced for us in the present work. The symbols of these composition operators have of form
χ
+
π
¯
where
χ
,
π
are analytic functions from
D
into
D
. We also analyze the space of bounded linear operators on
H
H
2
(
D
)
. |
| doi_str_mv | 10.1007/s00605-024-01956-0 |
| format | Article |
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H
H
2
(
D
)
of complex harmonic functions also introduced for us in the present work. The symbols of these composition operators have of form
χ
+
π
¯
where
χ
,
π
are analytic functions from
D
into
D
. We also analyze the space of bounded linear operators on
H
H
2
(
D
)
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H
H
2
(
D
)
of complex harmonic functions also introduced for us in the present work. The symbols of these composition operators have of form
χ
+
π
¯
where
χ
,
π
are analytic functions from
D
into
D
. We also analyze the space of bounded linear operators on
H
H
2
(
D
)
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H
H
2
(
D
)
of complex harmonic functions also introduced for us in the present work. The symbols of these composition operators have of form
χ
+
π
¯
where
χ
,
π
are analytic functions from
D
into
D
. We also analyze the space of bounded linear operators on
H
H
2
(
D
)
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| ispartof | Monatshefte für Mathematik, 2024, Vol.205 (4), p.681-697 |
| issn | 0026-9255 1436-5081 |
| language | eng |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Analytic functions Composition Harmonic functions Linear operators Mathematics Mathematics and Statistics Operators (mathematics) |
| title | Some questions about complex harmonic functions |
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