Comparison of Orlicz-Lorentz spaces

• Autorzy: S. J. Montgomery-Smith
• Języki publikacji: EN

Abstrakty

EN

Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastyło, Maligranda, and Kamińska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent. As a corollary, we give necessary and sufficient conditions for a Lorentz-Sharpley space to be equivalent to an Orlicz space, extending results of Lorentz and Raynaud. We also give an example of a rearrangement invariant space that is not an Orlicz-Lorentz space.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 103
• Numer: 2
• Strony: 161-189

Daty

wydano

1992

otrzymano

1991-03-04

poprawiono

1991-08-17

Twórcy

autor

S. J. Montgomery-Smith

• Department of Mathematics, University of Missouri, Columbia, Missouri 65211, U.S.A.

Bibliografia

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