Results 41 to 50 of about 1,403 (89)

Multiplicative order convergence in $f$-algebras

, 2019
A net $(x_\alpha)$ in an $f$-algebra $E$ is said to be multiplicative order convergent to $x\in E$ if $\x_\alpha-x\u\oc 0$ for all $u\in E_+$. In this paper, we introduce the notions $mo$-convergence, $mo$-Cauchy, $mo$-complete, $mo$-continuous and $mo ...
Aydın, Abdullah
core   +1 more source

Norm attaining bilinear forms on L1(μ)

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 833-837, 2000., 2000
Given a finite measure μ, we show that the set of norm attaining bilinear forms is dense in the space of all continuous bilinear forms on L1(μ) if and only if μ is purely atomic.
Yousef Saleh
wiley   +1 more source

An Efficient Algorithm for Reconstruction Images Corrupted by Some Multiplicative Noises

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper, we propose a novel hybrid model for restoration of images corrupted by multiplicative noise. Using a MAP estimator, we can derive a functional whose minimizer corresponds to the denoised image we want to recover.
Ziad L., Oubbih O., Sniba F.
doaj   +1 more source

Zygmund inequality of the conjugate function on Morrey-Zygmund spaces

Demonstratio Mathematica, 2019
We generalize the Zygmund inequality for the conjugate function to the Morrey type spaces defined on the unit circle T. We obtain this extended Zygmund inequality by introducing the Morrey-Zygmund space on T.
Yee Tat-Leung, Ho Kwok-Pun
doaj   +1 more source

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source

The Lusin Theorem and Horizontal Graphs in the Heisenberg Group

Analysis and Geometry in Metric Spaces, 2013
In this paper we prove that every collection of measurable functions fα , |α| = m, coincides a.e. withmth order derivatives of a function g ∈ Cm−1 whose derivatives of order m − 1 may have any modulus of continuity weaker than that of a Lipschitz ...
Hajłasz Piotr, Mirra Jacob
doaj   +1 more source

Pointwise Multipliers on Weak Morrey Spaces

Analysis and Geometry in Metric Spaces, 2020
We consider generalized weak Morrey spaces with variable growth condition on spaces of homogeneous type and characterize the pointwise multipliers from a generalized weak Morrey space to another one.
Kawasumi Ryota, Nakai Eiichi
doaj   +1 more source

Some class of nonlinear inequalities with gradient constraints in Orlicz spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
doaj   +1 more source

The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents

Open Mathematics, 2020
In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions.
Guo Qingdong, Wang Wenhua
doaj   +1 more source

Standing waves for Choquard equation with noncritical rotation

Advances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source