A note on the theorems of paley and stein

We show that, under the conditions of the theorems of Paley and Stein, a system with bounded norms in $L_{∞}$ can be replaced by a system with bounded norms in the space of functions of bounded mean oscillation.

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Datum:2000
Hauptverfasser: Kirillov, S. A., Кириллов, С. А.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/4447
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We show that, under the conditions of the theorems of Paley and Stein, a system with bounded norms in $L_{∞}$ can be replaced by a system with bounded norms in the space of functions of bounded mean oscillation.