On embeddings into the Morrey and modified Morrey spaces in the Dunkl setting

Spaceability on Morrey Spaces

In this paper, as a main result for Morrey spaces, we prove that the set $mathcal M_q^p(mathbb R^n)backslashbigcup_{q<rleq p}mathcal M_r^p(mathbb R^n)$ is spaceable in $mathcal M_q^p(mathbb R^n)$, where $0<q<p<infty$.}

Embeddings of Weighted Morrey

Necessary and Sufficient Conditions for the Boundedness of Dunkl-Type Fractional Maximal Operator in the Dunkl-Type Morrey Spaces

and Applied Analysis 3 For all x, y, z ∈ R, we put Wα ( x, y, z ) : ( 1 − σx,y,z σz,x,y σz,y,x ) Δα ( x, y, z ) , 2.5

Some Remarks on Spaces of Morrey Type

and Applied Analysis 3 In literature, several authors have considered different kinds of weighted spaces of Morrey type and their applications to the study of elliptic equations, both in the degenerate case and in the nondegenerate one see e.g., 9–11 . In this paper, given a weight ρ in a class of measurable functions G Ω see § 6 for its definition , we prove that the corresponding weighted spa...

A quarkonial decomposition of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces

The aim of this paper is to define the Besov-Morrey spaces and the TriebelLizorkin-Morrey spaces and to present a decomposition of functions belonging to these spaces. Our results contain an answer to the conjecture proposed by Mazzucato.