Tent Carleson measures for Hardy spaces

We completely characterize those positive Borel measures $\mu$ on the unit ball $\mathbb{B}_n$ such that the Carleson embedding from Hardy spaces $H^p$ into the tent-type spaces $T_s^q(\mu)$ is bounded, for all possible values of $0<p, q, s<\infty$.

Bibliographic Details
Authors: Lv, Xiaofen, Pau, Jordi
Format: article
Status:Published version
Publication Date:2024
Country:España
Institution:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repository:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:dnet:recercat____::ace29c1f21b80d5b4f3e2033cfc7f23c
Online Access:https://hdl.handle.net/2445/229552
Access Level:Open access
Keyword:Espais de Hardy
Espais analítics
Funcions holomorfes
Operadors lineals
Hardy spaces
Analytic spaces
Holomorphic functions
Linear operators
Description
Summary:We completely characterize those positive Borel measures $\mu$ on the unit ball $\mathbb{B}_n$ such that the Carleson embedding from Hardy spaces $H^p$ into the tent-type spaces $T_s^q(\mu)$ is bounded, for all possible values of $0<p, q, s<\infty$.