On posinormality of weighted composition-differentiation operators on $H^2(\mathbb{D})$
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911662034911232 |
|---|---|
| author | Hait, Gour Ojha, Sarita Ghosh, Nirupam Birbonshi, Riddhick |
| author_facet | Hait, Gour Ojha, Sarita Ghosh, Nirupam Birbonshi, Riddhick |
| contents | In this article, the posinormality and coposinormality of weighted composition-differentiation operators on Hardy space $H^2(\mathbb{D})$ are investigated. It is observed that while a composition-differentiation operator $D_{ϕ,n}$ fails to be posinormal, the weighted composition-differentiation operator $D_{ψ,ϕ,n}$ can be posinormal for specific choices of $ψ, ϕ$. Some necessary conditions are obtained for posinormality and coposinormality of the operator $D_{ψ,ϕ,n}$. Furthermore, the adjoint formula for this operator is derived which also helped us to examine some results regarding posinormality of this operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_07506 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On posinormality of weighted composition-differentiation operators on $H^2(\mathbb{D})$ Hait, Gour Ojha, Sarita Ghosh, Nirupam Birbonshi, Riddhick Functional Analysis 47B38, 30H10, 47B33 In this article, the posinormality and coposinormality of weighted composition-differentiation operators on Hardy space $H^2(\mathbb{D})$ are investigated. It is observed that while a composition-differentiation operator $D_{ϕ,n}$ fails to be posinormal, the weighted composition-differentiation operator $D_{ψ,ϕ,n}$ can be posinormal for specific choices of $ψ, ϕ$. Some necessary conditions are obtained for posinormality and coposinormality of the operator $D_{ψ,ϕ,n}$. Furthermore, the adjoint formula for this operator is derived which also helped us to examine some results regarding posinormality of this operator. |
| title | On posinormality of weighted composition-differentiation operators on $H^2(\mathbb{D})$ |
| topic | Functional Analysis 47B38, 30H10, 47B33 |
| url | https://arxiv.org/abs/2605.07506 |