Weighted Norm Inequalities for de Branges-Rovnyak Spaces and Their Applications

Let H(b) denote the de Branges-Rovnyak space associated with a function b in the unit ball of$H^\infty (\mathbb{C}_ + )$. We study the boundary behavior of the derivatives of functions in H(b) and obtain weighted norm estimates of the form$||f^{(n)} ||_{L^2 (\mu )} \leqslant C||f||_{H(b)} ,$, where...

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Bibliographic Details

Published in:	American journal of mathematics Vol. 132; no. 1; pp. 125 - 155
Main Authors:	Baranov, Anton, Fricain, Emmanuel, Mashreghi, Javad
Format:	Journal Article
Language:	English
Published:	Baltimore Johns Hopkins University Press 01.02.2010
Subjects:	Applied mathematics Complex Variables Embeddings Entire functions Functional Analysis Mathematical functions Mathematical inequalities Mathematical integrals Mathematical problems Mathematical theorems Mathematics Operator theory Property lines Theorems Unit ball
ISSN:	0002-9327, 1080-6377, 1080-6377
Online Access:	Get full text
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