Results 51 to 60 of about 354 (150)

Small triangles

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Heilbronn's triangle problem is a classical question in discrete geometry. It asks to determine the smallest number Δ=Δ(N)$\Delta = \Delta (N)$ for which every collection in N$N$ points in the unit square spans a triangle with area at most Δ$\Delta$.
Dmitrii Zakharov
wiley   +1 more source

The Novel Numerical Solutions for Time-Fractional Fishers Equation

Advances in Mathematical Physics
A new method for solving time-fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM.
Aslı Alkan, Hasan Bulut, Ercan Çelik
doaj   +1 more source

Potential trace inequalities via a Calderón‐type theorem

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such as potentials) on certain specific types of rearrangement‐invariant function spaces from analogous properties of operators that are easier to handle (such as fractional maximal operators).
Zdeněk Mihula, Luboš Pick, Daniel Spector   +2 more
wiley   +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

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

The Riesz decomposition of finely superharmonic functions

Advances in Mathematics, 2007
Let \(\Omega\) be a domain in Euclidean space \(\mathbb{R}^d\), \(d\geq 3\), and \(G_\Omega(\cdot,\cdot)\) the Green function for \(\Omega\). For nonnegative superharmonic functions \(u\) on \(\Omega\), the following conditions are equivalent: {\parindent=8mm \begin{itemize}\item[(i)] the only nonnegative harmonic minorant of \(u\) is \(0\); \item[(ii)]
Gardiner, Stephen J., Hansen, Wolfhard
openaire   +1 more source

On the decompositions of $$T$$ T -quasi-martingales on Riesz spaces

Positivity, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vardy, Jessica J., Watson, Bruce A.
openaire   +4 more sources

A refinement of the Riesz decomposition for amarts and semiamarts

Journal of Multivariate Analysis, 1978
AbstractA real-valued adapted sequence of random variables is an amart if and only if it can be written as a sum of a martingale and a sequence dominated in absolute value by a Doob potential, i.e., a positive supermartingale that converges to 0 in L1. The same holds for vector-valued uniform amarts with the norm replacing the absolute value.
Ghoussoub, Nassif, Sucheston, Louis
openaire   +1 more source

Lebesgue decomposition via Riesz orthogonal decomposition

, 2014
We give a simple and short proof of the classical Lebesgue decomposition theorem of measures via the Riesz orthogonal decomposition theorem of Hilbert spaces. The tools we employ are elementary Hilbert space techniques.
openaire   +2 more sources