This survey gives an account of the state of the art of the theory of Ornstein–Uhlenbeck
operators and semigroups. The domains of definition and the spectra of such operators are …

" The book describes how functional inequalities are often manifestations of natural
mathematical structures and physical phenomena, and how a few general principles …

By using optimal mass transport theory we prove a sharp isoperimetric inequality in CD (0,
N) metric measure spaces assuming an asymptotic volume growth at infinity. Our result …

Recently, in [26], an interesting connection between the p-harmonic functions and the 1/H
hypersurface flow (also called the inverse mean curvature flow) was established. Let v be a …

The quadratic‐phase Fourier transform (QPFT) is a recent addition to the class of Fourier
transforms and embodies a variety of signal processing tools including the Fourier, fractional …

Этот обзор посвящен современному состоянию теории операторов и полугрупп
Орнштейна–Уленбека, в том числе сравнительно недавним достижениям и открытым …

The aim of this article is to formulate some new uncertainty principles for the continuous
shearlet transforms in arbitrary space dimensions. Firstly, we derive an analogue of Pitt's …

In this paper the Nash-Moser iteration method is used to study the gradient estimates of
solutions to the quasilinear elliptic equation $\Delta_p u-|\nabla u|^ q+ b (x)| u|^{r-1} u= 0 …

We show that the L p Busemann–Petty centroid inequality provides an elementary and
powerful tool to the study of some sharp affine functional inequalities with a geometric …

The equation ut= Δp (u1/(p− 1)) for p> 1 is a nonlinear generalization of the heat equation
which is also homogeneous, of degree 1. For large time asymptotics, its links with the …