Points of monotonicity in Orlicz-Lorentz function spaces |
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Authors: | Wanzhong Gong Zhongrui Shi |
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Institution: | a Department of Mathematics, Shanghai University, Shanghai, 200444, PR China b Department of Mathematics, Anhui Normal University, Anhui Wuhu 241000, PR China |
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Abstract: | In Orlicz-Lorentz function space ?M,ω0,γ), points of upper monotonicity, lower monotonicity, upper local uniform monotonicity (γ<∞) and lower local uniform monotonicity (γ<∞) are characterized. As the corollary, we can easily obtain the criteria for strict monotonicity, upper local uniform monotonicity (γ<∞) and lower local uniform monotonicity (γ<∞) of ?M,ω0,γ). |
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Keywords: | Orlicz-Lorentz spaces Luxemburg norm Points of upper (lower) monotonicity Points of upper (lower) local uniform monotonicity Strict monotonicity Upper (lower) locally uniform monotonicity |
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