Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We study weighted norm inequalities for the derivatives (Bernstein-type inequalities) in the shift-coinvariant subspaces KΘ p of the Hardy class Hp in the upper half-plane. It is shown that the differentiation operator acts from KΘp to certain spaces of the form Lp (w), where the weight w (x) depends on the density of the spectrum of Θ near the point x of the real line. We discuss an application of the Bernstein-type inequalities to the problems of the description of measures μ, for which KΘp ⊂ Lp (μ), and of compactness of such embeddings. New versions of Carleson-type embedding theorems are obtained generalizing the theorems due to W.S. Cohn and A.L. Volberg-S.R. Treil.
Язык оригинала | английский |
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Страницы (с-по) | 116-146 |
Число страниц | 31 |
Журнал | Journal of Functional Analysis |
Том | 223 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 июн 2005 |
ID: 32721757