Duality for vector-valued Bergman–Orlicz spaces and little Hankel operators between vector-valued Bergman–Orlicz spaces on the unit ball

verfasst von

D. Békollè, T. Mfouapon, E. L. Tchoundja

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, h_b, with operator-valued symbols b, between different weighted vector-valued Bergman–Orlicz spaces on the unit ball B_n.More precisely, given two complex Banach spaces X, Y, we characterize those operator-valued symbolsb:B_n→L(X¯,Y) for which the little Hankel operator h_b:A_αΦ¹(B_n,X)⟶A_αΦ²(B_n,Y), extends into a bounded operator, where Φ₁ and Φ₂ are either convex or concave growth functions.

Organisationseinheit(en)

Institut für Analysis

Externe Organisation(en)

University of Yaounde I

Typ

Artikel

Journal

Analysis mathematica

Band

50

Seiten

31-78

Anzahl der Seiten

48

ISSN

0133-3852

Publikationsdatum

03.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Analysis, Mathematik (insg.)

Elektronische Version(en)

https://doi.org/10.1007/s10476-024-00002-3 (Zugang: Geschlossen)