Monotonicity and rotundity of Lorentz spaces Γ p,w
Abstract
Criteria for rotundity, strict monotonicity, and lower local uniform monotonicity of the Lorentz spaces Γ p,w of maximal functions are given under arbitrary nonnegative weight function w. Necessary conditions are also established for uniform monotonicity of the spaces Γ p,w for 1≤p<∞. Moreover, the spaces Γ 1,w that are uniformly monotone are characterized. © 2011 Elsevier Ltd. All rights reserved.
Publication Title
Nonlinear Analysis, Theory, Methods and Applications
Recommended Citation
Ciesielski, M., Kamińska, A., Kolwicz, P., & Płuciennikuciennik, R. (2012). Monotonicity and rotundity of Lorentz spaces Γ p,w. Nonlinear Analysis, Theory, Methods and Applications, 75 (5), 2713-2723. https://doi.org/10.1016/j.na.2011.11.011
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