In this systematic review, the authors give a survey on the recent developments of both the
John–Nirenberg space JN p and the space BMO as well as their vanishing subspaces such …

The notion of a tensor captures three great ideas: equivariance, multilinearity, separability.
But trying to be three things at once makes the notion difficult to understand. We will explain …

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 a previous paper, we obtained several “compact versions” of Rubio de Francia's weighted
extrapolation theorem, which allowed us to extrapolate the compactness of linear operators …

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

To study the compactness of bilinear commutators of certain bilinear Calderón–Zygmund
operators which include (inhomogeneous) Coifman–Meyer bilinear Fourier multipliers and …

It is known that the compactness of the commutators of point-wise multiplication with bilinear
homogeneous Calderón–Zygmund operators acting on product of Lebesgue spaces is …

Compact Bilinear Commutators: The Weighted Case Page 1 Michigan Math. J. 64 (2015), 39–51
Compact Bilinear Commutators: The Weighted Case ÁRPáD BéNYI, WENDOLíN DAMIáN …

We give a connection between the Hankel matrix acting on Dirichlet spaces D α, 0< α< 2,
and the Carleson measure supported on (− 1, 1). As an application, we prove that the …