Results 41 to 50 of about 2,764 (144)
On the solvability of parabolic and hyperbolic problems with a boundary integral condition
We prove the existence, uniqueness, and the continuous dependence of a generalized solution upon the data of certain parabolic and hyperbolic equations with a boundary integral condition. The proof uses a functional analysis method based on a priori estimates established in nonclassical function spaces, and on the density of the range of the linear ...
Abdelfatah Bouziani
wiley +1 more source
A short proof of some recent results related to Ces{\`a}ro function spaces
We give a short proof of the recent results that, for every $1\leq p< \infty,$ the Ces{\`a}ro function space $Ces_p(I)$ is not a dual space, has the weak Banach-Saks property and does not have the Radon-Nikodym property.Comment: 4 ...
Astashkin, Sergey V., Maligranda, Lech
core +2 more sources
An Efficient Algorithm for Reconstruction Images Corrupted by Some Multiplicative Noises
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
Some class of nonlinear inequalities with gradient constraints in Orlicz spaces
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
Some classes of sequence spaces defined by a Musielak-Orlicz function
In the present paper we introduce the sequence spaces c0{ℳ, Λ , p, q}, c{ℳ, Λ, p, q} and l∞ {ℳ, Λ, p, q} defined by a Musielak-Orlicz function ℳ = (ℳk). We study some topological properties and prove some inclusion relations between these spaces.
Sharma Sunil K.
doaj +1 more source
Some results for Hausdorff operators
In this paper, we give the sufficient conditions for the boundedness of the (fractional) Hausdorff operators on the Lebesgue spaces with power weights. In some special cases, these conditions are the same and also necessary.
G. Gao, Xiao-mei Wu, Weichao Guo
semanticscholar +1 more source
On weighted spaces without a fundamental sequence of bounded sets
The problem of countably quasi‐barrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of quasi‐barrelledness of weighted spaces in which, unlike that of Ernst and Schnettler (1986), though with a similar approach, we drop the ...
J. O. Olaleru
wiley +1 more source
Weighted Variable Exponent Sobolev spaces on metric measure spaces
In this article we define the weighted variable exponent-Sobolev spaces on arbitrary metric spaces, with finite diameter and equipped with finite, positive Borel regular outer measure.
Hassib Moulay Cherif, Akdim Youssef
doaj +1 more source
Sharp norm estimates for the classical heat equation [PDF]
Sharp estimates of solutions of the classical heat equation are proved in $L^p$ norms on the real line.
arxiv
Norm-Controlled Inversion of Banach algebras of infinite matrices
In this paper we provide a polynomial norm-controlled inversion of Baskakov–Gohberg–Sjöstrand Banach algebra in a Banach algebra B(`q ), 1 ≤ q ≤∞, which is not a symmetric ∗− Banach algebra. 2020 Mathematics Subject Classification.
Qiquan Fang, C. Shin
semanticscholar +1 more source