The great response to the publication of my book Classical and Modern Fourier Analysis in
2004 has been especially gratifying to me. I was delighted when Springer offered to publish …

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 …

We use an appropriate factorization of the Ap weights to give another proof of the
extrapolation theorem of Rubio de Francia. It provides sharp bounds in terms of the Ap …

This is the first part of a series of four articles. In this work, we are interested in weighted
norm estimates. We put the emphasis on two results of different nature: one is based on a …

We establish a uniform domination of the family of trilinear multiplier forms with singularity
over a one‐dimensional subspace by positive sparse forms involving L p‐averages. This …

In this work we prove off-diagonal, limited range, multilinear, vector-valued, and two-weight
versions of the Rubio de Francia extrapolation theorem in general quasi-Banach function …

The relationship between the operator norms of fractional integral operators acting on
weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds …

This paper is devoted to studying the Rubio de Francia extrapolation for multilinear compact
operators. It allows one to extrapolate the compactness of $ T $ from just one space to the …

In this paper we solve a long standing problem about the multivariable Rubio de Francia
extrapolation theorem for the multilinear Muckenhoupt classes A p→, which were …