Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
We completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in the unit ball of $\mathbb{C}^n$. The proof of the one dimensional case used tools, such as the strong factorization for Hardy spaces, that are not available in higher dimensions, and therefore other te...
| Autor: | |
|---|---|
| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2016 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositório: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/96782 |
| Acesso em linha: | https://hdl.handle.net/2445/96782 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Funcions holomorfes Funcions de variables complexes Operadors lineals Holomorphic functions Functions of complex variables Linear operators |
| Resumo: | We completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in the unit ball of $\mathbb{C}^n$. The proof of the one dimensional case used tools, such as the strong factorization for Hardy spaces, that are not available in higher dimensions, and therefore other techniques must be used. In particular, a generalized version of the description of Hardy spaces in terms of the area function is needed. |
|---|