Results 61 to 68 of about 96 (68)

Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm

Journal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
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Moduli and Characteristics of Monotonicity in Some Banach Lattices

Fixed Point Theory and Applications, 2010
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec, Radosław Kaczmarek, Henryk Hudzik, Paweł Foralewski   +3 more
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Existence of solutions to a nonlinear fractional diffusion equation with exponential growth

Nonlinear Analysis
In this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the ...
Jia Wei He, Yong Zhou, Ahmed Alsaedi, Bashir Ahmad   +3 more
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Monotonicities of Quasi-Normed Orlicz Spaces

Axioms
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
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Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

Open Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C., Ramos-Salas Carlos J., Salas-Brown Margot   +2 more
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Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm

Journal of Harbin University of Science and Technology
The smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms.
XU Anqi, CUI Yunan
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Global integrability of the Jacobian of a composite mapping

Journal of Inequalities and Applications, 2006
We first obtain an improved version of the Hölder inequality with Orlicz norms. Then, as an application of the new version of the Hölder inequality, we study the integrability of the Jacobian of a composite mapping.
Liu Bing, Ding Shusen
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Orlicz norm inequalities for the composite operator and applications

Journal of Inequalities and Applications, 2011
In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation.
Ding Shusen, Bi Hui
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