Results 21 to 30 of about 435,148 (317)

Nonlinear Volterra difference equations in space lp

Discrete Dynamics in Nature and Society, 2004
We consider a class of vector nonlinear discrete-time Volterra equations in space lp and derive estimates for the norms of solutions. These estimates give us explicit stability conditions, which allow us to avoid finding Lyapunov functionals.
Michael I. Gil', Rigoberto Medina
doaj   +1 more source

Application of Capacities to Space-Time Fractional Dissipative Equations II: Carleson Measure Characterization for Lq(ℝ+n+1,μ)L^q (\mathbb{R}_ + ^{n + 1} ,\mu )−Extension

Advances in Nonlinear Analysis, 2022
This paper provides the Carleson characterization of the extension of fractional Sobolev spaces and Lebesgue spaces to Lq(ℝ+n+1,μ)L^q (\mathbb{R}_ + ^{n + 1} ,\mu ) via space-time fractional equations.
Li Pengtao, Zhai Zhichun
doaj   +1 more source

Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces

Journal of Function Spaces, 2015
We investigate certain recently introduced ODE-determined varying exponent Lp spaces. It turns out that these spaces are finitely representable in a concrete universal varying exponent lp space.
Jarno Talponen
doaj   +1 more source

Nonlinear integration on Lp-spaces

Journal of Mathematical Analysis and Applications, 1978
AbstractFor a Banach space E and for 1 ⩽ p < ∞ let ...
Andre de Korvin, Andre de Korvin, Vo Van Tho, Vo Van Tho, Richard A. Alo, Richard A. Alo   +5 more
openaire   +2 more sources

Directional Differentiability of the Metric Projection in Bochner Spaces [PDF]

arXiv, 2023
In this paper, we consider the directional differentiability of metric projection and its properties in uniformly convex and uniformly smooth Bochner space Lp(S; X), in which (S, A, mu) is a positive measure space and X is a uniformly convex and uniformly smooth Banach space. Let (arbitrary) A in A with measure of A greater than 0 and define a subspace
arxiv  

Cosmological constraints with the linear point from the BOSS survey [PDF]

, 2023
The {\it Linear Point} (LP), defined as the midpoint between the BAO peak and the associated left dip of the two-point correlation function (2PCF), $\xi(s)$, is proposed as a new standard ruler which is insensitive to nonlinear effects. In this paper, we use a Bayesian sampler to measure the LP and estimate the corresponding statistical uncertainty ...
arxiv   +1 more source

On Variable Exponent Amalgam Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
doaj   +1 more source

Best N-Simultaneous Approximation in Lp(μ,X)

Journal of Function Spaces, 2017
Let X be a Banach space.
Tijani Pakhrou
doaj   +1 more source

On an extension of singular integrals along manifolds of finite type

International Journal of Mathematics and Mathematical Sciences, 2006
We extend the Lp-boundedness of a class of singular integral operators under the H1 kernel condition on a compact manifold from the homogeneous Sobolev space L˙αp(ℝn) to the Lebesgue space Lp(ℝn).
Abdelnaser Al-Hasan, Dashan Fan
doaj   +1 more source

Probability Error Bounds for Approximation of Functions in Reproducing Kernel Hilbert Spaces

Journal of Function Spaces, 2021
We find probability error bounds for approximations of functions f in a separable reproducing kernel Hilbert space H with reproducing kernel K on a base space X, firstly in terms of finite linear combinations of functions of type Kxi and then in terms of
Ata Deniz Aydın, Aurelian Gheondea
doaj   +1 more source