Details
| Original language | English |
|---|---|
| Pages (from-to) | 31-78 |
| Number of pages | 48 |
| Journal | Analysis mathematica |
| Volume | 50 |
| Issue number | 1 |
| Early online date | 13 Mar 2024 |
| Publication status | Published - Mar 2024 |
Abstract
In this paper, we consider vector-valued Bergman–Orlicz spaces which are generalization of classical vector-valued Bergman spaces. We characterize the dual space of vector-valued Bergman–Orlicz space, and study the boundedness of the little Hankel operators, hb, with operator-valued symbols b, between different weighted vector-valued Bergman–Orlicz spaces on the unit ball Bn.More precisely, given two complex Banach spaces X, Y, we characterize those operator-valued symbolsb:Bn→L(X¯,Y) for which the little Hankel operator hb:AαΦ1(Bn,X)⟶AαΦ2(Bn,Y), extends into a bounded operator, where Φ1 and Φ2 are either convex or concave growth functions.
Keywords
- little Hankel operator, operator-valued symbol, vector-valued Bergman–Orlicz space, 47B90, 32A36, 32A10, 46E40
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
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In: Analysis mathematica, Vol. 50, No. 1, 03.2024, p. 31-78.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Duality for vector-valued Bergman–Orlicz spaces and little Hankel operators between vector-valued Bergman–Orlicz spaces on the unit ball
AU - Békollè, D.
AU - Mfouapon, T.
AU - Tchoundja, E. L.
PY - 2024/3
Y1 - 2024/3
N2 - In this paper, we consider vector-valued Bergman–Orlicz spaces which are generalization of classical vector-valued Bergman spaces. We characterize the dual space of vector-valued Bergman–Orlicz space, and study the boundedness of the little Hankel operators, hb, with operator-valued symbols b, between different weighted vector-valued Bergman–Orlicz spaces on the unit ball Bn.More precisely, given two complex Banach spaces X, Y, we characterize those operator-valued symbolsb:Bn→L(X¯,Y) for which the little Hankel operator hb:AαΦ1(Bn,X)⟶AαΦ2(Bn,Y), extends into a bounded operator, where Φ1 and Φ2 are either convex or concave growth functions.
AB - In this paper, we consider vector-valued Bergman–Orlicz spaces which are generalization of classical vector-valued Bergman spaces. We characterize the dual space of vector-valued Bergman–Orlicz space, and study the boundedness of the little Hankel operators, hb, with operator-valued symbols b, between different weighted vector-valued Bergman–Orlicz spaces on the unit ball Bn.More precisely, given two complex Banach spaces X, Y, we characterize those operator-valued symbolsb:Bn→L(X¯,Y) for which the little Hankel operator hb:AαΦ1(Bn,X)⟶AαΦ2(Bn,Y), extends into a bounded operator, where Φ1 and Φ2 are either convex or concave growth functions.
KW - little Hankel operator
KW - operator-valued symbol
KW - vector-valued Bergman–Orlicz space
KW - 47B90
KW - 32A36
KW - 32A10
KW - 46E40
UR - http://www.scopus.com/inward/record.url?scp=85187677103&partnerID=8YFLogxK
U2 - 10.1007/s10476-024-00002-3
DO - 10.1007/s10476-024-00002-3
M3 - Article
AN - SCOPUS:85187677103
VL - 50
SP - 31
EP - 78
JO - Analysis mathematica
JF - Analysis mathematica
SN - 0133-3852
IS - 1
ER -