Erick Gori - Academia.edu (original) (raw)
Uploads
Papers by Erick Gori
The study of duality properties of the spaces of analytic functions continues to attract the atte... more The study of duality properties of the spaces of analytic functions continues to attract the attention of many mathematicians. Most studies have concentrated on the reflexive Hardy and Bergman spaces both on the unit disk and the upper half-plane. For instance, Zhu, Peloso, among others have determined the duality properties of Hardy and Bergman spaces. For the non-reflexive Bergman spaces of the disk, it was proved by Axler that the dual and the predual are identified as big and little Bloch spaces respectively. For non-reflexive Bergman spaces of the upper half-plane La(U, μα), the dual is well known as the Bloch space B∞(U, i) but the predual is not known. In our study therefore, we have determined the predual of La(U, μα). We have also determined the group of weighted composition operators defined on predual space of La(U, μα) and investigated both its semigroup and spectral properties. To determine the predual space of La(U, μα), we used the Cayley transform as well as related ...
The study of duality properties of the spaces of analytic functions continues to attract the atte... more The study of duality properties of the spaces of analytic functions continues to attract the attention of many mathematicians. Most studies have concentrated on the reflexive Hardy and Bergman spaces both on the unit disk and the upper half-plane. For instance, Zhu, Peloso, among others have determined the duality properties of Hardy and Bergman spaces. For the non-reflexive Bergman spaces of the disk, it was proved by Axler that the dual and the predual are identified as big and little Bloch spaces respectively. For non-reflexive Bergman spaces of the upper half-plane La(U, μα), the dual is well known as the Bloch space B∞(U, i) but the predual is not known. In our study therefore, we have determined the predual of La(U, μα). We have also determined the group of weighted composition operators defined on predual space of La(U, μα) and investigated both its semigroup and spectral properties. To determine the predual space of La(U, μα), we used the Cayley transform as well as related ...