Reverse Carleson Embeddings for Model Spaces
Idioma
en
Article de revue
Este ítem está publicado en
Journal of the London Mathematical Society. 2013, vol. 88, p. 437-464
London Mathematical Society ; Wiley
Resumen en inglés
The classical embedding theorem of Carleson deals with finite positive Borel measures $\mu$ on the closed unit disk for which there exists a positive constant $c$ such that $\|f\|_{L^2(\mu)} \leq c \|f\|_{H^2}$ for all $f ...Leer más >
The classical embedding theorem of Carleson deals with finite positive Borel measures $\mu$ on the closed unit disk for which there exists a positive constant $c$ such that $\|f\|_{L^2(\mu)} \leq c \|f\|_{H^2}$ for all $f \in H^2$, the Hardy space of the unit disk. Lefévre et al.\ examined measures $\mu$ for which there exists a positive constant $c$ such that $\|f\|_{L^2(\mu)} \geq c \|f\|_{H^2}$ for all $f \in H^2$. The first type of inequality above was explored with $H^2$ replaced by one of the model spaces $(\Theta H^2)^{\perp}$ by Aleksandrov, Baranov, Cohn, Treil, and Volberg. In this paper we discuss the second type of inequality in $(\Theta H^2)^{\perp}$.< Leer menos
Palabras clave en inglés
model spaces
embeddings
dominating sets
Carleson measures
Clark measures
Orígen
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