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Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
Pau, Jordi
Universitat de Barcelona
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.
Funcions holomorfes
Funcions de variables complexes
Operadors lineals
Holomorphic functions
Functions of complex variables
Linear operators
cc-by-nc-nd (c) Elsevier, 2016

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