TY - JOUR
T1 - Reverse Carleson measures in Hardy spaces
AU - Ortega-Cerdà, Joaquim
AU - Hartmann, Andreas
AU - Nicolau, Artur
AU - Massaneda, Xavier
PY - 2014/1/1
Y1 - 2014/1/1
N2 - We give a necessary and sufficient condition for a measure μ in the closed unit disk to be a reverse Carleson measure for Hardy spaces. This extends a previous result of Lefèvre, Li, Queffélec and Rodríguez-Piazza Lefèvre et al. (Rev Mat Iberoam 28(1):57-76, 2012). We also provide a simple example showing that the analogue for the Paley-Wiener space does not hold. As it turns out the analogue never holds in any model space. © 2014 Universitat de Barcelona.
AB - We give a necessary and sufficient condition for a measure μ in the closed unit disk to be a reverse Carleson measure for Hardy spaces. This extends a previous result of Lefèvre, Li, Queffélec and Rodríguez-Piazza Lefèvre et al. (Rev Mat Iberoam 28(1):57-76, 2012). We also provide a simple example showing that the analogue for the Paley-Wiener space does not hold. As it turns out the analogue never holds in any model space. © 2014 Universitat de Barcelona.
KW - Reproducing kernel
KW - Reverse Carleson measure
KW - Carleson measure
KW - Model space
KW - Reproducing kernel thesis
KW - Hardy space
UR - https://dialnet.unirioja.es/servlet/articulo?codigo=7037843
U2 - 10.1007/s13348-014-0105-z
DO - 10.1007/s13348-014-0105-z
M3 - Article
SN - 0010-0757
VL - 65
SP - 357
EP - 365
JO - Collectanea Mathematica
JF - Collectanea Mathematica
ER -