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 …

In recent years, dyadic analysis has attracted a lot of attention due to the A 2 conjecture. It
has been well understood that in the Euclidean setting, Calderón–Zygmund operators can …

In this paper, we unify and improve some of the results of Bourgain, Brezis, and Mironescu
and the weighted Poincaré–Sobolev estimate by Fabes, Kenig, and Serapioni. More …

In this paper we consider bilinear sparse forms intimately related to iterated commutators of
a rather general class of operators. We establish Bloom weighted estimates for these forms …

Originally conceived to be the final volume of a trilogy on Analysis in Banach spaces,
containing the applications of the infrastructure of Volumes I–II to Harmonic and Stochastic …

Our main result is a weighted fractional Poincaré–Sobolev inequality improving the
celebrated estimate by Bourgain–Brezis–Mironescu. This also yields an improvement of the …

Holomorphic functional calculus and vector-valued Littlewood–Paley–Stein theory for
semigroups Page 1 © 2024 European Mathematical Society Published by EMS Press J. Eur …

We prove a new type of pointwise estimate of the Kalamajska-Mazya-Shaposhnikova type,
where sparse averaging operators replace the maximal operator. It allows us to extend the …

For every cube Q⊂ R n we let XQ be a quasi-Banach function space over Q such that‖ χ
Q‖ XQ≃ 1, and for X={XQ} define‖ f‖ BMO X:= sup Q‖ f-1| Q|∫ Q f‖ XQ,‖ f‖ BMO …

In this paper we consider a generalized version of bounded oscillation operators, involving
new parameters in the definition, as well as considering the operators on vector-valued …