Integration operators between Hardy spaces on the unit ball of $\Cn$

By Jordi Pau. 2013

64 citations recorded by the source corpus.

We completely describe the boundedness of the Volterra type operator $J_ g$ between Hardy spaces in the unit ball of $\Cn$. 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 new techniques are developed. In particular, a generalized version of the description of Hardy spaces in terms of the area function is needed.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/ef68d2dac26cc525b40fa74625bf525c957523d0

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In Applied Mathematics

1. A. Perälä
2. S. Miihkinen
3. Maofa Wang
4. Jordi Pau
5. J. A. Pel'aez

Citations in the corpus

• Volterra type integration operators from Bergman spaces to Hardy spaces (2019, methodology): “A simple proof of this result, in the setting of the unit ball, can be found in [26] for example.”