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Points of monotonicity in Orlicz-Lorentz function spaces
Authors:Wanzhong Gong  Zhongrui Shi
Institution:a Department of Mathematics, Shanghai University, Shanghai, 200444, PR China
b Department of Mathematics, Anhui Normal University, Anhui Wuhu 241000, PR China
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).
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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