Sharp weighted estimates involving one supremum

Abstract

In this note, we study the sharp weighted estimate involving one supremum. In particular, we give a positive answer to an open question raised by Lerner and Moen \cite{LM}. We also extend the result to rough homogeneous singular integral operators.

5 pages, typos corrected. Accepted for publication in C. R. Acad. Sci. Paris, Ser. I

References in corpus (1)

• On pointwise estimates involving sparse operators

Cited by in corpus (1)

• Sparse bounds for maximal rough singular integrals via the Fourier transform