A multi (sub) linear maximal operator that acts on the product of m Lebesgue spaces and is
smaller than the m-fold product of the Hardy–Littlewood maximal function is studied. The …

Bi-parameter paraproducts Page 1 Acta Math., 193 (2004), 269-296 (~) 2004 by Institut
Mittag-Leffier. All rights reserved Bi-parameter paraproducts CAMIL MUSCALU Cornell …

Let R be the vector of Riesz transforms on\mathbb R^ n R n, and let μ, λ ∈ A_p μ, λ∈ A p be
two weights on\mathbb R^ n R n, 1< p< ∞ 1< p<∞. The two-weight norm inequality for the …

Supplying the missing necessary conditions, we complete the characterisation of the L p→ L
q boundedness of commutators [b, T] of pointwise multiplication and Calderón–Zygmund …

Multi-parameter paraproducts Page 1 Rev. Mat. Iberoamericana 22 (2006), no. 3, 963–976
Multi-parameter paraproducts Camil Muscalu, Jill Pipher, Terence Tao and Christoph Thiele …

We prove a dyadic representation theorem for bi-parameter singular integrals. That is, we
represent certain bi-parameter operators as averages of rapidly decaying sums of what we …

$ BMO $, the space of functions of bounded mean oscillation, was first introduced by F. John
and L. Nirenberg in 1961. It became a focus of attention when C. Fefferman proved that …

Though multi-parameter Hardy space theory has been well developed in the past half
century, not much has been studied for a local Hardy space theory in the multi-parameter …

Marcinkiewicz multipliers are L p bounded for 1< p<∞ on the Heisenberg group ℍ n≃ ℂ n×
ℝ, as shown by D. Müller, F. Ricci, and EM Stein. This is surprising in that these multipliers …

We apply the discrete version of Calderón's identity and Littlewood–Paley–Stein theory with
weights to derive the (H^p_w,H^p_w) and (H^p_w,L^p_w)(0<p≤1) boundedness for …