S. Petermichl

activity

20062026

most citedSharp weighted norm estimates beyond Calderón-Zygmund theory

77 citations · 243 across the 38 of their papers we have counts for

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Showing 2026 · math.CAShow all

2 papers · 2 filters

math.CA2026

Invariant sets of the double Hilbert transform

Evgeny Abakumov, Komla Domelevo, Stefanie Petermichl +1

We present an example that shows that the double Hilbert transform $\H$ can have the characteristic function of an open set of finite measure in $R \times R$ as a…

math.CA2026

The Poisson Matrix $A_{2}$ characteristic and the 3/2 blow up of the Hilbert transform

Komla Domelevo, Spyridon Kakaroumpas, Stefanie Petermichl +2

Recently the matrix $A_{2}$ conjecture was disproved. Indeed, the growth of the vector Hilbert transform in the matrix weighted $L^{2} (W)$ space was shown to be at best a constant mult…

Invariant sets of the double Hilbert transform

The Poisson Matrix A2​ characteristic and the 3/2 blow up of the Hilbert transform

The Poisson Matrix $A_{2}$ characteristic and the 3/2 blow up of the Hilbert transform