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 $0<q<p<infty$.}

BACKGROUND Fractures of the proximal radius need to be classified in an appropriate and reproducible manner. The aim of this study was to assess the reliability of the three most widely used classification systems. METHODS Elbow radiographs images of patients with proximal radius fractures were classified according to Mason, Morrey, and Arbeitsgemeinschaft für osteosynthesefragen/Association ...

In this paper, we consider weighted inequalities for linear and multilinear fractional integrals with homogeneous kernels on Morrey spaces. Recently, weighted inequalities without homogeneous kernels were proved by the authors. In this paper, we generalize ones with homogeneous kernels.

We revisit the Stummel class and its relation with Morrey spaces. We reformulate a result of Ragusa and Zamboni [11] and then discuss its generalization, as proposed by Eridani and Gunawan [4]. An improvement of the results previously obtained by Eridani and Gunawan is obtained and some extensions are presented.

In this note, we provide an alternative proof of C-regularity of continuous weak solutions to the system of harmonic map or heat flow of harmonic maps by Riesz potential estimates between Morrey spaces.

We derive some necessary and sufficient conditions for the boundedness of fractional integral operators in generalized Morrey spaces defined on metric measure spaces. îâäæñéâ. áŽéðçæùâIJñèæŽ äëéæŽê éâðîæçñè ïæãîùââIJäâ àŽêïŽäôãîñèæ àŽêäëàŽáëâIJñè ûæèŽáñîæ æêðâàîŽèñîæ ëìâîŽðëîæï öâéëïŽäôãîñèëIJæï ŽñùæèâIJâèæ ᎠïŽçéŽîæïæ ìæîëIJâIJæ.

The main goal of this article is to provide estimates mild solutions Navier–Stokes equations with arbitrary external forces in Rn for n≥2 on proposed weak Herz-type Besov–Morrey spaces. These spaces are larger than known and Herz considered works equations. Morrey–Sobolev based weak-Herz space denoted as WK˙p,qαMμs WK˙p,qαN˙μ,rs, respectively, represent new properties interpolations. This class...