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Reverse Carleson embeddings for model spaces
- Source :
- Journal of the London Mathematical Society (2), Journal of the London Mathematical Society (2), 2013, 88, pp.437-464
- Publication Year :
- 2013
- Publisher :
- Wiley, 2013.
-
Abstract
- 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. Lef\'evre 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 $(\Theta H^2)^{\perp}$.<br />Comment: 33 pages
- Subjects :
- Mathematics - Complex Variables
General Mathematics
010102 general mathematics
model spaces
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
Hardy space
Type (model theory)
30J05, 30H10, 46E22
01 natural sciences
Unit disk
Combinatorics
symbols.namesake
dominating sets
0103 physical sciences
FOS: Mathematics
symbols
Embedding
010307 mathematical physics
Complex Variables (math.CV)
0101 mathematics
Carleson measures
Constant (mathematics)
embeddings
Clark measures
Mathematics
Subjects
Details
- ISSN :
- 00246107
- Volume :
- 88
- Database :
- OpenAIRE
- Journal :
- Journal of the London Mathematical Society
- Accession number :
- edsair.doi.dedup.....671bd48c329e8044770fab1a3f7e9859