Results 91 to 100 of about 33,958 (245)

A Choquet theory of Lipschitz‐free spaces

Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley   +1 more source

Some Estimates of the Growth of Polynomials in the Region with Piecewise Smooth Boundary

Cumhuriyet Science Journal
In this paper, we investigate inequalities for higher order derivatives of algebraic polynomials in weighted Lebesgue space. In doing so, using the weighted L_p-norm, we establish the growth of the modulus of the m-th derivatives of algebraic polynomials
Cevahir Doğanay Gün
doaj   +1 more source

Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

, 2023
P. Özkartepe, M. Imashkyzy, F. G. Аbdullayev   +2 more
openalex   +2 more sources

Embeddings of Weighted Generalized Morrey Spaces Into Lebesgue Spaces on Fractal Sets [PDF]

Fractional Calculus and Applied Analysis, 2019
In the paper under review, embeddings of weighted local generalized Morrey spaces \(L^{p,\varphi}_{{x_0}}(X,w)\), \(1 \le p \le \infty\), into Lebesgue spaces \(L^s(X,\mu)\), \(1 \le s\le p\), are studied. This is done in a context of quasi-metric measure space \((X,d,\mu)\) with some mild assumptions (for instance, the Ahlfors conditions) imposed on \(
openaire   +2 more sources

Space-time decay rate of the 3D diffusive and inviscid Oldroyd-B system

AIMS Mathematics
We investigate the space-time decay rates of solutions to the 3D Cauchy problem of the compressible Oldroyd-B system with diffusive properties and without viscous dissipation.
Yangyang Chen, Yixuan Song
doaj   +1 more source

Multiplication operator on weighted Lebesgue sequence spaces

Gulf Journal of Mathematics
In this paper, we study the multiplication operator acting on the Lebesgue sequence space lp, w, for 1 ≤ p ≤ ∞, which generalizes the classical lp spaces by incorporating a weight sequence wn. We focus on properties such as continuity, inverse continuity, finite range, compactness, and essential norm of the operator.
René Erlín Castillo, Héctor Chaparro, Oscar Alejandro Chaparro   +2 more
openaire   +1 more source

Rearrangement-invariant hulls of weighted Lebesgue spaces

Journal of Functional Analysis
We characterize the rearrangement-invariant hull, with respect to a given measure $μ$, of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of $(L^1 + L^\infty)(R, μ)$ and the final condition is given in terms of embeddings for weighted Lorentz spaces.
Martin Křepela, Zdeněk Mihula, Javier Soria   +2 more
openaire   +4 more sources

Semi-Fredholm singular integral operators with piecewise continuous coefficients on weighted variable Lebesgue spaces are Fredholm [PDF]

, 2007
Alexei Yu. Karlovich
openalex   +2 more sources

Variable Lebesgue Space over Weighted Homogeneous Tree

Symmetry
An infinite homogeneous tree is a special type of graph that has a completely symmetrical structure in all directions. For an infinite homogeneous tree T=(V,E) with the natural distance d defined on graphs and a weighted measure μ of exponential growth, the authors introduce the variable Lebesgue space Lp(·)(μ) over (V,d,μ) and investigate it under the
Yuxun Zhang, Jiang Zhou
openaire   +1 more source

Kernel operators and their boundedness from weighted Sobolev space to weighted Lebesgue space

TURKISH JOURNAL OF MATHEMATICS, 2019
Summary: In this paper, for a wide class of integral operators, we consider the problem of their boundedness from a weighted Sobolev space to a weighted Lebesgue space. The crucial step in the proof of the main result is to use the equivalence of the basic inequality and certain Hardy-type inequality, so we first state and prove this equivalence.
Aigerim KALYBAY, Ryskul OINAROV
openaire   +1 more source