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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96782
Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
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Abstract
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.
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PAU, Jordi. Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$. Journal of Functional Analysis. 2016. Vol. 270, num. 1, pags. 134-176. ISSN 0022-1236. [consulted: 7 of June of 2026]. Available at: https://hdl.handle.net/2445/96782