Results 1 to 10 of about 8,572 (149)

Triebel--Lizorkin space estimates for multilinear operators of sublinear operators [PDF]

Proceedings Mathematical Sciences, 2003
In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.Comment: 15 pages, no figures,
Lanzhe, Liu
core   +4 more sources

Caputo fractional approximation by sublinear operators

Journal of Numerical Analysis and Approximation Theory, 2018
Here we consider the approximation of functions by sublinear positive operators with applications to a big variety of Max-Product operators under Caputo fractional differentiability. Our study is based on our general fractional results about positive
George A. Anastassiou
doaj   +4 more sources

Anisotropic Hardy Spaces of Musielak-Orlicz Type with Applications to Boundedness of Sublinear Operators [PDF]

The Scientific World Journal, 2014
Let φ:ℝn×[0,∞)→[0,∞) be a Musielak-Orlicz function and A an expansive dilation. In this paper, the authors introduce the anisotropic Hardy space of Musielak-Orlicz type, HAφ(ℝn), via the grand maximal function.
Baode Li, Dachun Yang, Wen Yuan
doaj   +2 more sources

On the sublinear operators factoring through Lq [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Let 0 < p ≤ q ≤ +∞. Let T be a bounded sublinear operator from a Banach space X into an Lp(Ω, μ) and let ∇T be the set of all linear operators ≤T. In the present paper, we will show the following. Let C be a positive constant. For all u in ∇T, Cpq(u) ≤ C (i.e., u admits a factorization of the form , where is a bounded linear operator with , is ...
Lahcène Mezrag, Abdelmoumene Tiaiba
doaj   +3 more sources

Two-sided inequalities with nonmonotone sublinear operators

Karpatsʹkì Matematičnì Publìkacìï, 2015
The theorems on solutions and their two-sided estimates for one class of nonlinear operator equations $x=Fx$ with nonmonotone operators.
M.I. Kopach, A.F. Obshta, B.A. Shuvar
doaj   +4 more sources

Spaces generated by the cone of sublinear operators

Karpatsʹkì Matematičnì Publìkacìï, 2018
This paper deals with a study on classes of non linear operators. Let $SL(X,Y)$ be the set of all sublinear operators between two Riesz spaces $X$ and $Y$. It is a convex cone of the space $H(X,Y)$ of all positively homogeneous operators.
A. Slimane
doaj   +5 more sources

Endpoint regularity of discrete multisublinear fractional maximal operators associated with ℓ1 $\ell^{1}$-balls [PDF]

Journal of Inequalities and Applications, 2018
In this paper we investigate the endpoint regularity of the discrete m-sublinear fractional maximal operator associated with ℓ1 $\ell^{1}$-balls, both in the centered and uncentered versions.
Feng Liu
doaj   +2 more sources

Uniformly continuous semigroups of sublinear transition operators

Electronic Journal of Differential Equations
In this work we investigate uniformly continuous semigroups of sublinear transition operators on the Banach space of bounded real-valued functions on some countable set.
Alexander Erreygers
doaj   +3 more sources

Sublinear Equations Driven by Hörmander Operators

The Journal of Geometric Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Biagi S., Pinamonti A., Vecchi E.
openaire   +4 more sources

Fixed point equations for superlinear operators with strong upper or strong lower solutions and application

AIMS Mathematics, 2023
It is well known that sublinear operators and superlinear operators are two classes of important nonlinear operators in nonlinear analysis and dynamical systems.
Shaoyuan Xu, Yan Han, Qiongyue Zheng
doaj   +1 more source