Results 41 to 50 of about 165 (120)

Bessel–Riesz Operator in Variable Lebesgue Spaces L^p(·)(${\mathbb{R}}_{+}$)

Axioms
This paper investigates the Bessel–Riesz operator within the framework of variable Lebesgue spaces. We extend existing results by establishing boundedness under more general conditions.
Muhammad Nasir, Fehaid Salem Alshammari, Ali Raza   +2 more
doaj   +1 more source

The weak (1,1) boundedness of Fourier integral operators with complex phases

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let T$T$ be a Fourier integral operator of order −(n−1)/2$-(n-1)/2$ associated with a canonical relation locally parametrised by a real‐phase function. A fundamental result due to Seeger, Sogge and Stein proved in the 90's gives the boundedness of T$T$ from the Hardy space H1$H^1$ into L1$L^1$. Additionally, it was shown by T.
Duván Cardona, Michael Ruzhansky
wiley   +1 more source

On a necessary condition for belonging of a function to periodic generalized Nikol’sky-Besov-Morrey space in terms of strong summability of Fourier series

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
This paper is dedicated to the investigation of strong summability in the generalized Morrey spaces. First, we study boundedness of the Hardy-Littlewood maximal function on generalized Morrey spaces.
Zh.Zh. Baituyakova
doaj  

Evaluating Allocations of Opportunities

International Economic Review, Volume 67, Issue 1, Page 365-397, February 2026.
ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli, Mathieu Faure, Nicolas Gravel, Tista Kundu   +3 more
wiley   +1 more source

Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions

Discrete Analysis, 2018
Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions, Discrete Analysis 2018:10, 18pp. An important role in harmonic analysis is played by the notion of a _maximal function_ (which is actually a non-linear operator on a space of ...
Theresa C. Anderson, Brian Cook, Kevin Hughes, Angel Kumchev   +3 more
doaj   +1 more source

Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley   +1 more source

Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities

Mathematical Finance, Volume 36, Issue 1, Page 99-117, January 2026.
ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley   +1 more source

The founding of the Journal of the London Mathematical Society and its first volume

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract That the Journal of the London Mathematical Society came into existence in 1926 can be ascribed to the efforts of one man: G.H. Hardy. As one of the two Secretaries of the Society, Hardy was aware of the increasing demand for publication space in the Society's Proceedings, and the need for an outlet for shorter papers.
June Barrow‐Green
wiley   +1 more source

Criteria of a Two-Weight, Weak-Type Inequality in Orlicz Classes for Maximal Functions Defined on Homogeneous Spaces

Mathematics
In this study, some new necessary and sufficient conditions for a two-weight, weak-type maximal inequality of the form φ1(λ)∫{x∈X:Mf(x)>λ}ϱ(x)dμ(x)≤c∫Xφ2c|f(x)|σ(x)dμ(x) are obtained in Orlicz classes, where Mf is a Hardy–Littlewood maximal function ...
Erxin Zhang
doaj   +1 more source

A Unified Version of Weighted Weak-Type Inequalities for the One-Sided Hardy–Littlewood Maximal Function in Orlicz Classes

Mathematics
Let Mg+f be the one-sided Hardy–Littlewood maximal function, φ1 be a nonnegative and nondecreasing function on [0,∞), γ be a positive and nondecreasing function defined on [0,∞); let φ2 be a quasi-convex function and u,v,w be three weight functions.
Erxin Zhang
doaj   +1 more source