We give necessary and sufficient conditions for the boundedness of generalized fractional integral maximal operators on Orlicz–Morrey weak spaces. To do this, we prove weak–weak type modular inequality Hardy–Littlewood operator with respect to Young function. spaces contain L p $L^p$ ( 1 ≤ ∞ $1\le p\le \infty$ ), Orlicz spaces, Morrey as special cases. Hence, get these function corollaries.

In this paper, the boundedness properties of vector-valued intrinsic square functions and their commutators with \(BMO(\mathbb {R}^{n})\) are discussed. We first show weighted strong-type weak-type estimates in Morrey-type spaces. Then, we obtain analogues endpoint case, establish weak \(L\log L\)-type for these setting Lebesgue Furthermore, prove commutator operators particular, can Morrey spa...

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.

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.

In this paper, related to RBMO, we prove the sharp maximal inequalities for the Morrey spaces with the measure μ satisfying the growth condition. As an application we obtain the boundedness of commutators for these spaces.

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...