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 …

We generalize the Ap extrapolation theorem of Rubio de Francia to A∞ weights in the
context of Muckenhoupt bases. Our result has several important features. First, it can be …

A weighted theory for multilinear fractional integral operators and maximal functions is
presented. Sufficient conditions for the two weight inequalities of these operators are found …

We present an extrapolation theory that allows us to obtain, from weighted Lp inequalities on
pairs of functions for p fixed and all A∞ weights, estimates for the same pairs on very …

Two versions of Rubio de Francia's extrapolation theorem for multivariable operators of
functions are obtained. One version assumes an initial estimate with different weights in …

A notion of compactness in the bilinear setting is explored. Moreover, commutators of
bilinear Calderón-Zygmund operators and multiplication by functions in a certain subspace …

Iterated commutators of multilinear Calderón–Zygmund operators and pointwise
multiplication with functions in bounded mean oscillation are studied in products of …

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 …

The multilinear Calderón–Zygmund theory is developed in the setting of RD-spaces which
are spaces of homogeneous type equipped with measures satisfying a reverse doubling …

In this paper, we establish a weighted version of the well-known Fréchet–Kolmogorov
theorem, which holds for weights beyond A_ ∞ A∞. This weighted theory extends the …