Sparse domination theorem for multilinear singular integral operators with $L^r$-Hörmander condition

Abstract

In this note, we show that if $T$ is a multilinear singular integral operator associated with a kernel satisfies the so-called multilinear $L^r$-Hörmander condition, then $T$ can be dominated by multilinear sparse operators.

13 pages. Updated according to the referees' suggestions, to appear in Michigan Math. J

References in corpus (1)

• A sparse domination principle for rough singular integrals

Cited by in corpus (6)

• Weighted norm inequalities for rough singular integral operators
• Operator-free sparse domination
• A metric approach to sparse domination
• $A_p$-$A_{\infty }$ estimates for multilinear maximal and sparse operators
• Sawyer-type inequalities for Lorentz spaces
• Weighted estimates for the Calderón commutator