Results 51 to 60 of about 90,171 (132)

The Classical Integral Operators in Weighted Lorentz Spaces with Variable Exponent. [PDF]

In this paper the Lorentz spaces with variable exponent are introduced. These Banach function spaces are defined on the base of variable Lebesgue spaces. Boundedness of classical integral operators are proved in variable Lorentz spaces.
D.M. Israfilov, N.P. Tuzkaya
core   +1 more source

A characterization of Walrasian economies of infinity dimension [PDF]

We consider a pure exchange economy, where agent's consumption spaces are Banach spaces, goods are contingent in time of states of the world, the utility function of each agent is not necessarily a separable function, but increasing, quasiconcave, and ...
Elvio Accinelli, Martín Puchet
core  

Weak type estimates of Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces

Results in Applied Mathematics
This paper proves the weak type estimates of the Hardy–Littlewood maximal operator on local Morrey spaces associated with ball quasi-Banach function spaces.
HanLin Li, Jiang Zhou
doaj   +1 more source

Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

Journal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
doaj   +1 more source

Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz Spaces Γp,w

Journal of Function Spaces and Applications, 2012
The paper is devoted to investigation of new Lebesgue's type differentiation theorems (LDT) in rearrangement invariant (r.i.) quasi-Banach spaces E and in particular on Lorentz spaces Γp,w={f:∫(f ...
Maciej Ciesielski, Anna Kamińska
doaj   +1 more source

Relaxed submonotone mappings

Abstract and Applied Analysis, 2003
The notions of relaxed submonotone and relaxed monotone mappings in Banach spaces are introduced and many of their properties are investigated. For example, the Clarke subdifferential of a locally Lipschitz function in a separable Banach space is relaxed
Tzanko Donchev, Pando Georgiev
doaj   +1 more source

Norm Estimates for the Difference Between Bochner's Integral and the Convex Combination of Function's Values

, 2003
Norm estimates are developed between the Bochner integral of a vector-valued function in Banach spaces having the Radon-Nikodym property and the convex combination of function values taken on a division of the interval [a,b]
Cerone, P., Cho, Y. J., Dragomir, S. S., Kim, J. K., Kim, S. S.   +4 more
core   +1 more source

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
doaj  

A Decomposition of the Dual Space of Some Banach Function Spaces

Journal of Function Spaces and Applications, 2012
We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
doaj   +1 more source

Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces

Abstract and Applied Analysis, 2013
We first introduce a new class of mappings called Bregman asymptotic pointwise nonexpansive mappings and investigate the existence and the approximation of fixed points of such mappings defined on a nonempty, bounded, closed, and convex subset C of a ...
Chin-Tzong Pang, Eskandar Naraghirad
doaj   +1 more source