Some remarks on level functions and their applications

• Autorzy: Foralewski P. , Leśnik K. , Maligranda L.

Identyfikatory

DOI

10.14708/cm.v56i1.1142

• Języki publikacji: EN

Abstrakty

EN

A comparison of the level functions considered by Halperin and Sinnamon is discussed. Moreover, connections between Lorentz-type spaces, down spaces, Cesàro spaces, and Sawyer's duality formula are explained. Applying Sinnamon's ideas, we prove the duality theorem for Orlicz−Lorentz spaces which generalizes a recent result by Kamińska, Leśnik, and Raynaud (and Nakamura). Finally, some applications of the level functions to the geometry of Orlicz−Lorentz spaces are presented.

Słowa kluczowe

EN

level functions; dual spaces; Orlicz-Lorentz spaces; Halperin spaces; Cesàro spaces

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2016
• Tom: Vol 56, No. 1
• Strony: 55--86
• Opis fizyczny: Bibliogr. 49 poz., wykr.

Twórcy

autor

Foralewski P.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 60-769 Poznań, Poland

autor

Leśnik K.

• Institute of Mathematics of Electric Faculty, Poznań University of Technology, Piotrowo 3a, 60-965 Poznań, Poland

autor

Maligranda L.

• Department of Engineering Sciences and Mathematics, Lulea University of Technology, SE-97187, Luea, Sweden

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.