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 …

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 …

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 …

Two-weight norm inequalities for rough fractional integral operators on Morrey spaces Page 1
Opuscula Math. 44, no. 1 (2024), 67–77 https://doi.org/10.7494/OpMath.2024.44.1.67 Opuscula …

In this paper, we study the boundedness for the fractional integral operator I α on
generalized Morrey spaces associated with ball Banach function spaces. Moreover, the …

Atomic decompositions and Hardy’s inequality on weak Hardy-Morrey spaces Page 1 SCIENCE
CHINA Mathematics . ARTICLES . March 2017 Vol.60 No.3: 449–468 doi …

The main theme of this paper is the mapping properties of the fractional integral operators
with homogeneous kernels on Morrey spaces with variable exponents. The fractional …

We consider the generalized weighted Morrey spaces M-omega (p (.), phi)(Omega) with
variable exponent p (x) and a general function phi (x, r) defining the Morrey-type norm. In …