activity
20192026
most citedOn a weak type estimate for sparse operators of strong type

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2026

mapping properties, smoothness and decay for -valued nonlinear Fourier transform

Gevorg Mnatsakanyan

We prove an analog of Baxter's theorem for -valued nonlinear Fourier transform (NLFT). That is, we prove that under certain natural conditions on the NLFT data, the potentia…

math.CA2021

Sharp weighted estimates for strong-sparse operators

Gevorg Mnatsakanyan

We prove the sharp weighted- bounds for the strong-sparse operators introduced in \cite{KaragulyanM}. The main contribution of the paper is the construction of a weight that i…

math.CA2019★ 1 cited

On a weak type estimate for sparse operators of strong type

Grigori A. Karagulyan, Gevorg Mnatsakanyan

We define sparse operators of strong type on abstract measure spaces with ball-bases. Weak and strong type inequalities for such operators are proved.