Variations on the Theme of Journe's Lemma

Abstract

Journe's Lemma is a critical component of many questions related to the product $BMO$ theory of S.-Y. Chang and R. Fefferman. This article presents several different variants of the Lemma, some known, some implicit in the literature, and some new.

27 pages ; 17 references; To appear in Houston Journal of Mathematics

References in corpus (1)

• Hankel Operators in Several Complex Variables and Product $BMO\zProd$

Cited by in corpus (5)

• Weighted Solyanik Estimates for the Hardy-Littlewood maximal operator and embedding of $A_{\infty }$ into $A_p$
• Weighted Solyanik estimates for the strong maximal function
• Solyanik estimates and local Hölder continuity of halo functions of geometric maximal operators
• Directional square functions
• Non-homogeneous T1 theorem for bi-parameter singular integrals