L. Petrov

collaborators

2 papers

math.CA2025

An $A_{2}$ Theorem for One-Sided CalderÃ³n-Zygmund Operators

A. Walton Green, Ljupcho Petrov, Brett D. Wick

We present a proof of the one-sided $A_{2}$ theorem in dimension one, with a logarithmic loss. This theorem concerns one-sided CalderÃ³n-Zygmund operators (CZOs) whose kernels $K(x,y…

math.CA2025

Harmonic Extensions on $Z \times N$ and a Discrete Hilbert Transform

Ljupcho Petrov

For a given boundary sequence $a = (a_{n})_{n \in Z}$ , we construct harmonic extensions $U, V : Z \times N \to R$ that serve as discrete analogs of the Po…

An A2​ Theorem for One-Sided CalderÃ³n-Zygmund Operators

Harmonic Extensions on Z×N and a Discrete Hilbert Transform

An $A_{2}$ Theorem for One-Sided CalderÃ³n-Zygmund Operators

Harmonic Extensions on $Z \times N$ and a Discrete Hilbert Transform