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 …

Let X be a ball Banach function space on ℝ n \mathbbR^n. Let Ω be a Lipschitz function on
the unit sphere of ℝ n \mathbbR^n, which is homogeneous of degree zero and has mean …

We prove the boundedness of the Hardy–Littlewood maximal operator on variable Morrey
spaces 𝐿𝑝 (·), λ (·)(Ω) over a bounded open set Ω⊂ ℝ𝑛 and a Sobolev type 𝐿𝑝 (·), λ (·)→ …

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 …

We study the weighted boundedness of the Cauchy singular integral operator SΓ in Morrey
spaces Lp, λ (Γ) on curves satisfying the arc-chord condition, for a class of “radial type” …

Global Morrey Regularity of Strong Solutions to the Dirichlet Problem for Elliptic Equations
with Discontinuous Coefficients Page 1 Journal of Functional Analysis 166, 179 196 (1999) …

Let $ M_ {\Omega,\a} $ and $ I_ {\Omega,\a} $ be the fractional maximal and integral
operators with rough kernels, where $0<\a< n $. In this paper, we shall study the continuity …

In this paper, new classes of functions are defined. These spaces generalize Morrey spaces
and give a refinement of Lebesgue spaces. Some embeddings between these new classes …

In this note we prove a sufficient condition for commutators of fractional integral operators to
belong to Vanishing Morrey spaces VL p, λ. In doing this we use an extension on Morrey …

In this paper the boundedness of Hardy-Littlewood maximal and singular operators in
variable exponent Morrey spaces $ M^{p (\cdot)} _ {q (\cdot)}(X) $ defined on spaces of …