913 citations · 3.7k across the 31 of their papers we have counts for
31 papers
Some weighted Hardy-type inequalities and applications
Vyacheslav S. Rychkov
We study the two-weighted estimate \[ \bigg\|\sum_{k=0}^na_k(x)\int_0^xt^kf(t)dt|L_{q,v}(0,\infty)\bigg\|\leq c\|f|L_{p,u}(0,\infty)\|,\tag{} \] where the functions are…
Splitting of Volterra Integral Operators with Degenerate Kernels
Vyacheslav S. Rychkov
Volterra integral operators with non-sign-definite degenerate kernels , , are studied acting from one weighted space on…
On weighted estimates for a class of Volterra integral operators
V. S. Rychkov
Volterra integral operators , , are studied acting between weighted spaces on $(0,+\infty)…
Universal Constraints on Conformal Operator Dimensions
Vyacheslav S. Rychkov, Alessandro Vichi
We continue the study of model-independent constraints on the unitary Conformal Field Theories in 4-Dimensions, initiated in arXiv:0807.0004. Our main result is an improved upper b…
Multi-muon events at the Tevatron: a hidden sector from hadronic collisions
Riccardo Barbieri, Lawrence J. Hall, Vyacheslav S. Rychkov +1
Intrigued by some features of a small but significant fraction of the multi-muon events recently published by the CDF collaboration, we show an explicit attempt to describe them in…
Bounding scalar operator dimensions in 4D CFT
Riccardo Rattazzi, Vyacheslav S. Rychkov, Erik Tonni +1
In an arbitrary unitary 4D CFT we consider a scalar operator ϕ, and the operator ϕ^2 defined as the lowest dimension scalar which appears in the OPE ϕ\timesϕwith a nonzero coeffici…