Both the real-variable theory of function spaces and the boundedness of operators are
always one of the core contents of harmonic analysis, while the Lebesgue spaces are the …

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 …

This book on Banach space theory focuses on what have been called three-space
problems. It contains a fairly complete description of ideas, methods, results and …

We introduce a new class of Hardy spaces H^ φ (⋅, ⋅)(R^ n) H φ (·,·)(R n), called Hardy
spaces of Musielak–Orlicz type, which generalize the Hardy–Orlicz spaces of Janson and …

The purpose of this paper is to obtain some sharp nonstandard weighted inequalities for
linear and nonlinear commutators of singular integral operators. These estimates provide a …

The intent of this paper is first to provide a comprehensive and unifying development of
Sobolev spaces of differential forms on Riemannian manifolds with boundary. Second, is the …

This book develops a theory of extrapolation spaces with applications to classical and
modern analysis. Extrapolation theory aims to provide a general framework to study limiting …

We continue the study of centralizers on Köthe function spaces and the commutator
estimates they generate (see [29]). Our main result is that if $ X $ is a super-reflexive Köthe …

We define and study the grand Morrey spaces and the grand Hardy–Morrey spaces on
Euclidean space. We also introduce the small block space and study the duality between the …

In this work we prove some sharp weighted inequalities on spaces of homogeneous type for
the higher order commutators of singular integrals introduced by R. Coifman, R. Rochberg …