Results 41 to 50 of about 2,707 (136)

A short proof of some recent results related to Ces{\`a}ro function spaces

, 2012
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

On the solvability of parabolic and hyperbolic problems with a boundary integral condition

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 4, Page 201-213, 2002., 2002
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

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

Open Mathematics, 2020
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
doaj   +1 more source

Some results for Hausdorff operators

, 2015
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

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 449-457, 2002., 2002
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

Some classes of sequence spaces defined by a Musielak-Orlicz function

Acta Universitatis Sapientiae: Mathematica, 2021
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

Sharp norm estimates for the classical heat equation [PDF]

arXiv, 2023
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

, 2020
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

Multivariate Analogue of Slant Toeplitz Operators

Hacettepe Journal of Mathematics and Statistics, 2020
This paper discusses several structural and fundamental properties of the kth-order slant Toeplitz operators on the Lebesgue space of the ntorus Tn, for integers k ≥ 2 and n ≥ 1. We obtain certain equivalent conditions for the commutativity and essential
Gopal Datt, Shesh Kumar Pandey
semanticscholar   +1 more source

Commutators in real interpolation with quasi‐power parameters

Abstract and Applied Analysis, Volume 7, Issue 5, Page 239-257, 2002., 2002
The basic higher order commutator theorem is formulated for the real interpolation methods associated with the quasi‐power parameters, that is, the function spaces on which Hardy inequalities are valid. This theorem unifies and extends various results given by Cwikel, Jawerth, Milman, Rochberg, and others, and incorporates some results of Kalton to the
Ming Fan
wiley   +1 more source