Lorentz space

Lorentz space

0 and Fixed Point Property

Published in Michael Ruzhansky, Hemen Dutta, Advanced Topics in Mathematical Analysis, 2019

Veysel Nezir, Nizami Mustafa, Hemen Dutta

Before that result, Carothers et al. Carothers et al. (1996) in 1996 established the analogous result for nonreflexive subspaces of the Lorentz function space Lw,1(0, ∞). Even earlier, in 1991, Carothers et al. Carothers et al. (1991) showed the Lorentz Space Lw,1(μ) enjoys the weak-star fixed point property if (X, Σ, μ) is a σ-fine measure space; that is, if C is a weak-star compact convex subset of Lw,1(μ), then, every nonexpansive mapping on C has a fixed point.

Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications

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Published in Applicable Analysis, 2023

A. Kucukaslan, V. S. Guliyev, C. Aykol, A. Serbetci

Let and . We denote by the local variable Morrey–Lorentz space, the space of all measurable functions with finite quasi-norm These spaces generalize variable Lorentz spaces such that when , given in [8]. Also, if and then are variable Lebesgue spaces defined in [33].

The local characterizations of the singularity formation for the MHD equations

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Published in Applicable Analysis, 2023

Wenke Tan, Fan Wu

We use to denote the space of measurable functions with the following norm The Lorentz space is the space of measurable functions with the following norm: Throughout this paper, and C denotes an absolute positive number which can change from line to line.

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0 and Fixed Point Property

Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications

The local characterizations of the singularity formation for the MHD equations