# name
A Toeplitz-type operator on Hardy spaces in the unit ball

# metadata.dc.description.abstract[].value
We study a Toeplitz-type operator $Q_\mu$ between the holomorphic Hardy spaces $H^p$ and $H^q$ of the unit ball. Here the generating symbol $\mu$ is assumed to be a positive Borel measure. This kind of operator is related to many classical mappings acting on Hardy spaces, such as composition operators, the Volterra-type integration operators, and Carleson embeddings. We completely characterize the boundedness and compactness of $Q_\mu: H^p \rightarrow H^q$ for the full range $1<p, q<\infty$; and also describe the membership in the Schatten classes of $H^2$. In the last section of the paper, we demonstrate the usefulness of $Q_\mu$ through applications.

# metadata.dc.relation.ispartof[].value
Transactions of the American Mathematical Society, 2020, vol. 373, num. 5, p. 3031-3062

# metadata.dc.rights[].value
cc-by-nc-nd (c) American Mathematical Society (AMS), 2020

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.classification[].value
Funcions de diverses variables complexes

# metadata.dc.title[].value
A Toeplitz-type operator on Hardy spaces in the unit ball