Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

This article unifies the theory for Hardy spaces built on Banach lattices on ${\mathbb {R}}^ n
$ satisfying certain weak conditions on indicator functions of balls. The authors introduce a …

This paper establishes the boundedness of the spherical maximal function, Rubio de
Francia operators, Bochner–Riesz operators, Fourier integral operators, geometric maximal …

The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey
spaces is developed. Generalized Morrey spaces, which Mizuhara and Nakai proposed, are …

In this article, the authors first introduce the Triebel--Lizorkin-type space $ F_ {p (\cdot), q
(\cdot)}^{s (\cdot),\phi}(\mathbb R^ n) $ with variable exponents, and establish its $\varphi …

The Hardy–Morrey spaces with variable exponents are introduced in terms of maximal
functions. The atomic decomposition of Hardy–Morrey spaces with variable exponents is …

We give a definition of singular integral operators on Morrey–Banach spaces which include
Orlicz–Morrey spaces and Morrey spaces with variable exponents. The main result of this …

We establish the boundedness of singular integral operators, the Fefferman–Stein inequality
and the John–Nirenberg inequalities on weighted Lebesgue spaces with variable …

1. Introduction. There are two main themes for this paper. The first one is to establish the
atomic decompositions of weighted Hardy spaces with variable exponents. The second one …

We extend the extrapolation theory to Morrey spaces associated with Banach function
spaces. Some applications by this theory such as the Fefferman–Stein vector-valued …