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 …

The targets of this article are threefold. The first one is to give a survey on the recent
developments of function spaces with mixed norms, including mixed Lebesgue spaces …

In this paper, the authors introduce a class of mixed-norm Herz spaces, Ė q→ α→, p→(ℝ n),
which is a natural generalization of mixed-norm Lebesgue spaces and some special cases …

Let X be a ball quasi-Banach function space on R n and HX (R n) the associated Hardy
space. In this article, under the assumptions that the Hardy–Littlewood maximal operator …

In this paper, we establish the mapping properties of sublinear operators on Herz–Hardy
spaces with variable exponents. We obtain these mapping properties by extending the …

In this paper, we give the necessary and sufficient conditions for the boundedness of
commutators of fractional integral operators on mixed Morrey spaces. We construct the …

Abstract Let a→:=(a 1,…, an)∈[1,∞) n, p∈(0, 1), and α:= 1/p− 1. For any x∈ ℝ n and
t∈[0,∞), let Φ p (x, t):={t 1+(t [x] a→ ν) 1− p if ν α∉ ℕ, t 1+(t [x] a→ ν) 1− p [log (e+∣ x∣ a→)] …

This paper gives an extension of the extrapolation theory to Herz spaces with variable
exponents. By using this extrapolation theory, we establish the Fefferman–Stein inequalities …

Abstract In Kenig and Stein (Math Res Lett 6 (1): 1–15, 1999, https://doi. org/10.4310/MRL.
1999. v6. n1. a1), the following type of multilinear fractional integral ∫ _ R^ mn f_1 (l_1 (x_1 …

In this paper, we introduce and study the mixed central bounded mean oscillation space
CMO˙ q→(R n), which is a new central version of the bounded mean oscillation spaces …