Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/194164
Title: | A Toeplitz-type operator on Hardy spaces in the unit ball |
Author: | Pau, Jordi Perälä, Antti |
Keywords: | Funcions de diverses variables complexes Funcions holomorfes Espais de Hardy Teoria d'operadors Functions of several complex variables Holomorphic functions Hardy spaces Operator theory |
Issue Date: | 2020 |
Publisher: | American Mathematical Society (AMS) |
Abstract: | 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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1090/tran/8053 |
It is part of: | Transactions of the American Mathematical Society, 2020, vol. 373, num. 5, p. 3031-3062 |
URI: | http://hdl.handle.net/2445/194164 |
Related resource: | https://doi.org/10.1090/tran/8053 |
ISSN: | 0002-9947 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
699972.pdf | 459.65 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License