PRODUCTS OF MULTIPLICATION, COMPOSITION AND DIFFERENTIATION OPERATORS FROM MIXED-NORM SPACES TO WEIGHTED-TYPE SPACES
Letφbe an analytic self-map of the unit disk 𝔻,H(𝔻) the space of analytic functions on 𝔻 andψ 1,ψ 2∈H(𝔻). Recently Stević and co-workers defined the following operator T ψ 1 , ψ 2 , φ f ( z ) = ψ 1 ( z ) f ( φ ( z ) ) + ψ 2 ( z ) f ′ ( φ ( z ) ) , f ∈ H ( D ) . The boundedness and compactness of t...
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| Published in | Taiwanese journal of mathematics Vol. 18; no. 6; pp. 1927 - 1940 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Mathematical Society of the Republic of China
01.12.2014
|
| Online Access | Get full text |
| ISSN | 1027-5487 2224-6851 |
| DOI | 10.11650/tjm.18.2014.4311 |
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| Summary: | Letφbe an analytic self-map of the unit disk 𝔻,H(𝔻) the space of analytic functions on 𝔻 andψ
1,ψ
2∈H(𝔻). Recently Stević and co-workers defined the following operator
T
ψ
1
,
ψ
2
,
φ
f
(
z
)
=
ψ
1
(
z
)
f
(
φ
(
z
)
)
+
ψ
2
(
z
)
f
′
(
φ
(
z
)
)
,
f
∈
H
(
D
)
.
The boundedness and compactness of the operatorsT
ψ
1,ψ
2,φ
from mixed-norm spaces to weighted-type spaces are investigated in this paper.
2010Mathematics Subject Classification: 47B38, 47B33, 46E14, 30H10.
Key words and phrases: Multiplication operator, Differentiation operator, Composition operator, Mixednorm space, Weighted-type space. |
|---|---|
| ISSN: | 1027-5487 2224-6851 |
| DOI: | 10.11650/tjm.18.2014.4311 |