Results 91 to 100 of about 33,554 (201)

Matrix-weighted bounds in variable Lebesgue spaces

Annales Fennici Mathematici
In this paper we prove boundedness of Calderón–Zygmund operators and the Christ–Goldberg maximal operator in the matrix-weighted variable Lebesgue spaces recently introduced by Cruz-Uribe and the second author. Our main tool to prove these bounds is through bounding a Goldberg auxiliary maximal operator.
Nieraeth, Zoe, Penrod, Michael
openaire   +3 more sources

On the Mean‐Field Limit of Consensus‐Based Methods

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4214-4240, 30 March 2026.
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley   +1 more source

Connection of two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norms

Electronic Journal of Differential Equations, 2016
In this article we study a connection between two nonlinear differential equations with a two-dimensional Hardy operator in weighted Lebesgue spaces with mixed norm.
Rovshan A. Bandaliyev
doaj  

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

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +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

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
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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

Three weight Koopman semigroups on Lebesgue spaces

Monatshefte für Mathematik
Abstract In this paper, we consider three different semiflows $$(\phi _t)_{t\ge 0}, \, (\psi _t)_{t\ge 0}$$ ( ϕ t
Pedro J. Miana, Verónica Poblete
openaire   +3 more sources