A T(b) Theorem on Product Spaces

Abstract

The main result of this paper is a bi-parameter T(b) theorem for the case that b is a tensor product of two pseudo-accretive functions. In the proof, we also discuss the L^2 boundedness of different types of the b-adapted bi-parameter paraproducts.

45 pages

References in corpus (3)

• Non-homogeneous Tb theorem and random dyadic cubes on metric measure spaces
• A T(1) theorem on product spaces
• Non-homogeneous T1 theorem for bi-parameter singular integrals

Cited by in corpus (1)

• Higher order Journe commutators and characterizations of multi-parameter BMO