Bounds for the Hilbert transform with matrix A2 weights

Kelly Bickel (1) , Stefanie Petermichl (2) , Brett D. Wick (3)

1 Georgia Institute of Technology [Atlanta]
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 School of Mathematics - Georgia Institute of Technology

We establish a new estimate for the Hilbert transform in L^2 space endowed with a matrix weight.

Mots clés: Hilbert transform; matrix weight

Domaines: Analyse classique [math.CA]

Kelly Bickel, Stefanie Petermichl, Brett D. Wick. Bounds for the Hilbert transform with matrix A2 weights. Journal of Functional Analysis, 2016, 270 (5), pp.1719-1743. ⟨10.1016/j.jfa.2015.12.006⟩. ⟨hal-00978127⟩