Results 51 to 60 of about 1,789,847 (137)
Variable exponents and grand Lebesgue spaces: Some optimal results
Consider p : Ω → [1,+∞[, a measurable bounded function on a bounded set Ω with decreasing rearrangement p∗ : [0, |Ω| ] → [1,+∞[. We construct a rearrangement invariant space with variable exponent p∗ denoted by Lp∗(·)∗∗ (Ω). According to the growth of
Rakotoson, Jean Michel +2 more
core +1 more source
Let S n − 1 $\mathbb{S}^{n-1}$ denote unit sphere in R n $\mathbb{R}^{n}$ equipped with the normalized Lebesgue measure. Let Φ ∈ L s ( S n − 1 ) $\Phi \in L^{s}(\mathbb{S}^{n-1})$ be a homogeneous function of degree zero such that ∫ S n − 1 Φ ( y ′ ) d σ
Babar Sultan +3 more
doaj +1 more source
A Model of Strategic Sustainable Investment
ABSTRACT We study a problem of optimal irreversible investment and emission reduction formulated as a nonzero‐sum dynamic game between an investor with environmental preferences and a firm. The game is set in continuous‐time on an infinite‐time horizon.
Tiziano De Angelis +2 more
wiley +1 more source
New discretised polynomial expander and incidence estimates
Abstract We present two applications of recent developments in incidence geometry. One is a δ$\delta$‐discretised version of a particular ‘Elekes–Rónyai’ expander problem. The second is an incidence estimate addressing the scenario in which both tubes, squares and their shadings satisfy non‐concentration assumptions.
Ciprian Demeter, William O'Regan
wiley +1 more source
Restricted version of Grand Lebesgue Spaces
We introduce a so-called restricted, in particular, discrete version of (Banach) Grand Lebesgue Spaces (GLS), investigate its properties and derive the conditions of coincidence with the classical ones. We show also that these spaces forms also a Banach algebra relative the convolution operation on the unimodular local compact topological group ...
Formica, M. R. +2 more
openaire +2 more sources
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Macroscopic Coulomb Force Versus Maxwell Stress Theory: Consistencies and Discrepancies
ABSTRACT In macroscopic electrostatics, there are two rivaling concepts describing the electrostatic action of force: the continuous formulation of the Coulomb force and the Maxwell stress theory. Although their mutual consistency is well‐known for free charges distributed continuously on volumes and surfaces, a revisit of the seemingly uncontroversial
Lennart Behlen +2 more
wiley +1 more source
Likelihood Estimation for Stochastic Differential Equations with Mixed Effects
ABSTRACT Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. When time series are observed for several experimental units, it is often the case that some of the parameters vary between the individual experimental units.
Fernando Baltazar‐Larios +2 more
wiley +1 more source
Poincaré Inequalities in Bilateral Grand Lebesgue Spaces
In this paper we obtain the non - asymptotic estimations of Poincare type between function and its gradient in the so - called Bilateral Grand Lebesgue Spaces. We also give some examples to show the sharpness of these inequalities.
Ostrovsky, E., Sirota, L., Rogover, E.
openaire +2 more sources
Grand Triebel-Lizorkin-Morrey spaces
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj +1 more source

