Multilinear almost diagonal estimates and applications
Volume 164 / 2004
Studia Mathematica 164 (2004), 75-89
MSC: Primary 47A07, 42B25, 42B35; Secondary 42B15, 42B20, 42C15, 42C40, 47G10, 47G30.
DOI: 10.4064/sm164-1-5
Abstract
We prove that an almost diagonal condition on the $(m+1)$-linear tensor associated to an $m$-linear operator implies boundedness of the operator on products of classical function spaces. We then provide applications to the study of certain singular integral operators.
