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 …

The real-variable theory of function spaces has always been at the core of harmonic
analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of …

Let X be a ball quasi-Banach function space on ℝ n. In this article, we introduce the weak
Hardy-type space WHX (ℝ n), associated with X, via the radial maximal function. Assuming …

Let X be a ball quasi-Banach function space on R^ n R n. In this article, assuming that the
powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector-valued …

Let X be a ball quasi-Banach function space on\mathbb R^ n R n. In this article, assuming
that the powered Hardy–Littlewood maximal operator satisfies some Fefferman–Stein vector …

Abstract Let (X, d, μ) be a space of homogeneous type in the sense of Coifman and Weiss,
and X (X) a ball quasi-Banach function space on X. In this article, the authors introduce the …

Abstract Let (𝕏, d, μ) be a space of homogeneous type in the sense of RR Coifman and G.
Weiss, and let X⁢(𝕏) be a ball quasi-Banach function space on 𝕏. In this article, the authors …

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 …

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 …