In this article we revisit the inequalities of Kato and Ponce concerning the L r norm of the
Bessel potential J s=(1− Δ) s/2 (or Riesz potential D s=(− Δ) s/2) of the product of two …

We show that the Cauchy problem for a class of dispersive perturbations of Burgers'
equations containing the low dispersion Benjamin–Ono equation∂ tu− D x α∂ xu=∂ x (u …

We prove that bilinear fractional integral operators and similar multipliers are smoothing in
the sense that they improve the regularity of functions. We also treat bilinear singular …

THE CAUCHY PROBLEM FOR THE 3D ZAKHAROV-KUZNETSOV EQUATION Felipe Linares
Jean-Claude Saut (Communicated by the associate editor Page 1 Manuscript submitted to …

The main purpose of this paper is to establish a number of results concerning boundedness
of multi-linear Calderón–Zygmund operators with kernels of mild regularity. Let T be a …

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 …

On the local and global well-posedness theory for the KP-I equation Sur le caractère bien
posé local et global pour l’équat Page 1 Ann. IH Poincaré – AN 21 (2004) 827–838 www.elsevier.com/locate/anihpc …

In this paper we prove a certain-estimate for multilinear Fourier multiplier operators with
multipliers of limited smoothness. As a consequence, we extend the result of Calderón and …

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 …

We establish boundedness properties on products of weighted Lebesgue, Hardy, and
amalgam spaces of certain paraproducts and bilinear pseudodifferential operators with mild …