Results 111 to 120 of about 82,525 (218)

Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

Journal of Inequalities and Applications, 2010
Two-weighted norm estimates with general weights for Hardy-type transforms and potentials in variable exponent Lebesgue spaces defined on quasimetric measure spaces are established.
Sarwar Muhammad, Kokilashvili Vakhtang, Meskhi Alexander   +2 more
doaj  

On the exceptional set in Littlewood's discrete conjecture

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
wiley   +1 more source

Fourier analytic properties of Kakeya sets in finite fields

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We prove that a Kakeya set in a vector space over a finite field of size q$q$ always supports a probability measure, whose Fourier transform is bounded by q−1$q^{-1}$ for all non‐zero frequencies. We show that this bound is sharp in all dimensions at least 2.
Jonathan M. Fraser
wiley   +1 more source

Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher, Bart Rosenzweig, Jonathan Stanfill   +2 more
wiley   +1 more source

Efficient Energy‐Stable Discontinuous Galerkin Scheme for the Non‐Isothermal Cahn–Hilliard–Navier–Stokes Two‐Phase Fluid Flow System

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou, Meiting Wang, Kejia Pan, Yin Yang, Xiaofeng Yang   +4 more
wiley   +1 more source

The Fourier transform in Lebesgue spaces

Czechoslovak Mathematical Journal
For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the distributional derivative of a Hölder continuous function. For each $p$ a norm is defined so that the space Fourier transforms is isometrically isomorphic to $L^p({\mathbb R)}$. There is an exchange theorem and inversion in norm.
openaire   +3 more sources

Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle. [PDF]

Manuscr Math
Chatzakou M, Ruzhansky M, Shriwastawa A.
europepmc   +1 more source

How Quantum Mechanics Requires Non-Additive Measures. [PDF]

Entropy (Basel), 2023
Carcassi G, Aidala CA.
europepmc   +1 more source

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

Commun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc   +1 more source

Generalized Legendre Transforms Have Roots in Information Geometry. [PDF]

Entropy (Basel)
Nielsen F.
europepmc   +1 more source