Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/194160
Title: | Volterra type integration operators from Bergman spaces to Hardy spaces |
Author: | Miihkinen, Santeri Pau, Jordi Perälä, Antti Wang, Mao Fa |
Keywords: | Espais funcionals Teoria d'operadors Funcions de diverses variables complexes Espais analítics Function spaces Operator theory Functions of several complex variables Analytic spaces |
Issue Date: | 1-Sep-2020 |
Publisher: | Elsevier |
Abstract: | We completely characterize the boundedness of the Volterra type integration operators $J_b$ acting from the weighted Bergman spaces $A_\alpha^p$ to the Hardy spaces $H^q$ of the unit ball of $\mathbb{C}^n$ for all $0<p, q<\infty$. A partial solution to the case $n=1$ was previously obtained by Z. Wu in [35]. We solve the cases left open there and extend all the results to the setting of arbitrary complex dimension $n$. Our tools involve area methods from harmonic analysis, Carleson measures and Kahane-Khinchine type inequalities, factorization tricks for tent spaces of sequences, as well as techniques and integral estimates related to Hardy and Bergman spaces. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1016/j.jfa.2020.108564 |
It is part of: | Journal of Functional Analysis, 2020, vol. 279, num. 4 |
URI: | http://hdl.handle.net/2445/194160 |
Related resource: | https://doi.org/10.1016/j.jfa.2020.108564 |
ISSN: | 0022-1236 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
710156.pdf | 343.2 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License