This work proves the global stability of the Boltzmann equation (1872) with the physical
collision kernels derived by Maxwell in 1866 for the full range of inverse-power …

A fundamental two-fluid model for describing dynamics of a plasma is the Euler-Poisson
system, in which compressible ion and electron fluids interact with their self-consistent …

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 …

Minimal smoothness conditions for bilinear Fourier multipliers Page 1 Rev. Mat. Iberoam. 29
(2013), no. 2, 495–530 doi 10.4171/rmi/728 c European Mathematical Society Minimal …

We develop a new method of proving vector-valued estimates in harmonic analysis, which
we call “the helicoidal method”. As a consequence of it, we are able to give affirmative …

The main purpose of this paper is three-fold. First of all, we are concerned with the limited
smoothness conditions in the spirit of Hörmander on the multi-linear and multi-parameter …

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 …

We extend the helicoidal method from [1] to the quasi-Banach context, proving in this way
multiple Banach and quasi-Banach vector-valued inequalities for paraproducts Π and for the …

First we prove a Littlewood–Paley diagonalization result for bi-Lipschitz perturbations of the
identity map on the real line. This result entails a number of corollaries for the Hilbert …

Boundedness of the twisted paraproduct Page 1 Rev. Mat. Iberoam. 28 (2012), no. 4, 1143–1164
doi 10.4171/rmi/707 c European Mathematical Society Boundedness of the twisted …