This book is a result of our ten-year fruitful collaboration. It deals with integral operators of
harmonic analysis and their various applications in new, non-standard function spaces …

We show that many classical operators in harmonic analysis—such as maximal operators,
singular integrals, commutators and fractional integrals—are bounded on the variable …

Multilinear commutators with vector symbol defined by\[T_ {\vec {b}}(f)(x)=\int_ {{\bb R}^
n}\Bigg [\prod\limits^ m_ {j= 1}(b_j (x)-b_j (y))\Bigg] K (x, y) f (y) dy\] are considered, where is …

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 …

Boundedness of commutators on Herz spaces with variable exponent Page 1 DOI: 10.1007/s12215-010-0015-1
Rendiconti del Circolo Matematico di Palermo 59, 199 – 213 (2010) Mitsuo Izuki …

In this work we obtain boundedness on L p, for 1< p<∞, of commutators T bf= bTf− T (bf)
where T is any of the Riesz transforms or their conjugates associated to the Schrödinger …

Sharp maximal function estimates Page 330 http://dx. doi. org/10.1090/conm/320/05615
Contemporary Mathematics Volume 320, 2003 Sharp maximal function estimates for multilinear …

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 …

We prove versions of the Rubio de Francia extrapolation theorem in generalized Orlicz
spaces. As a consequence, we obtain boundedness results for several classical operators …

We obtain a priori estimates in $ L^ p (\omega) $ for the generalized Beltrami equation,
provided that the coefficients are compactly supported $ VMO $ functions with the expected …