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...

Celý popis

Podrobná bibliografia

Vydané v:	American journal of mathematics Ročník 132; číslo 1; s. 125 - 155
Hlavní autori:	Baranov, Anton, Fricain, Emmanuel, Mashreghi, Javad
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Baltimore Johns Hopkins University Press 01.02.2010
Predmet:	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
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!