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Reverse Carleson measures in Hardy spaces
Language
en
Article de revue
This item was published in
Collectanea Mathematica. 2014, vol. 65, n° 3, p. 357-365
University of Barcelona / Springer Verlag
English Abstract
We give a necessary and sufficient condition for a measure $\mu$ in the closed unit disk to be a reverse Carleson measure for Hardy spaces. This extends a previous result of Lefévre, Li, Queffélec and Rodr\'{\i}guez-Piazza ...Read more >
We give a necessary and sufficient condition for a measure $\mu$ in the closed unit disk to be a reverse Carleson measure for Hardy spaces. This extends a previous result of Lefévre, Li, Queffélec and Rodr\'{\i}guez-Piazza \cite{LLQR}. We also provide a simple example showing that the analogue for the Paley-Wiener space does not hold. This example can be generalised to model spaces associated to one-component inner functions.Read less <
English Keywords
Hardy space
Carleson measure
reverse Carleson measure
reproducing kernel
reproducing kernel thesis
model space
Origin
Hal imported