Majorants and Minorants for Elliptic Measures on Rk

Measures on Semi-Rings in R1 and Rk

Elliptic equations for measures on infinite dimensional spaces and applications

We introduce and study a new concept of a weak elliptic equation for measures on infinite dimensional spaces. This concept allows one to consider equations whose coefficients are not globally integrable. By using a suitably extended Lyapunov function technique, we derive a priori estimates for the solutions of such equations and prove new existence results. As an application, we consider stocha...

Implications of the RK and RK∗ anomalies

We discuss the implications of the recently reported RK and RK∗ anomalies, the lepton flavor non-universality in the B → Kll and B → Kll. Using two sets of hadronic inputs of form factors, we perform a fit of the new physics to the RK and RK∗ data, and significant new physics contributions are found. We propose to study the lepton flavor universality in a number of related rare B,Bs, Bc and Λb ...

One-sided Band-limited Approximations of Some Radial Functions

We construct majorants and minorants of a Gaussian function in Euclidean space that have Fourier transforms supported in a box. The majorants that we construct are shown to be extremal and our minorants are shown to be asymptotically extremal as the sides of the box become uniformly large. We then adapt the Distribution and Gaussian Subordination methods of [12] to the multidimensional setting ...

Harmonic and Superharmonic Majorants on the Disk

We prove that a positive function on the unit disk admits a harmonic majorant if and only if a certain explicit upper envelope of it admits a superharmonic majorant. We provide examples to show that mere superharmonicity of the data does not help with the problem of existence of a harmonic majorant. 1. Definitions and statements Let D stand for the open unit disk in the complex plane, and H(D) ...