Results 71 to 80 of about 6,242,785 (170)

Bayesian Inference for Multivariate Monotone Densities

Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1206-1229, September 2026.
ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
wiley   +1 more source

Hausdorff operator in Lebesgue spaces

We study the boundedness of the Hausdorff operator in various types of Lebesgue spaces, e.g. weighted spaces, variable exponent and grand Lebesgue spaces. The results are illustrated by a number of examples. © 2019 Element D.O.O..
Górka P., Bandaliyev R.
core   +1 more source

Duality for weak Lebesgue spaces

, 2023
When p ∈ (0, 1), both the dual and the associate space of the weak Lebesgue space Lp,∞ contain only the zero function. In this thesis, we study a different method of dualization of the weak Lebesgue space.
Musilová, Anna
core  

Convergence and combinatorics of the Reverse algorithm

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito, Niels Langeveld, Jörg Thuswaldner   +2 more
wiley   +1 more source

Variable Lebesgue spaces: foundations and harmonic analysis

, 2013
This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but
CRUZ URIBE D., Fiorenza, Alberto, Cruz-Uribe, David V   +2 more
core   +1 more source

Exponential convergence for ultrafast diffusion equations with log‐concave weights

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the asymptotic behavior of a weighted ultrafast diffusion PDE on the real line, with a log‐concave and log‐lipschitz weight, and prove exponential convergence to equilibrium. This result goes beyond the compact setting studied in Iacobelli [Discrete Contin. Dyn. Syst. 39 (2019), 4929–4943].
Max Fathi, Mikaela Iacobelli
wiley   +1 more source

A proof of Esterle's conjecture on negative powers of Hilbert‐space contractions

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We establish the following result, confirming a conjecture of Jean Esterle. For each closed subset E$E$ of the unit circle of Lebesgue measure zero, there exists a positive sequence un→∞$u_n\rightarrow \infty$ with the following property: If T$T$ is a contraction on a Hilbert space such that σ(T)⊂E$\sigma (T)\subset E$ and ∥T−n∥=O(un)$\Vert T^{
Thomas Ransford
wiley   +1 more source

Tropical Donagi theorem

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
wiley   +1 more source

Bourgain discretization using Lebesgue-Bochner spaces

, 2020
We study the Lebesgue-Bochner discretization property of Banach spaces Y , which ensures that the Bourgain discretization modulus for Y has a good lower estimate.
Ostrovskii, Mikhail I., Randrianantoanina, Beata   +1 more
core  

Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena, Jeremy T. Tyson   +1 more
wiley   +1 more source