This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained resul...

The aim of this study was to evaluate the functional outcome following internal fixation of intraarticular fractures of the distal humerus (AO Type C) with a minimum follow-up of two years. A retrospective evaluation with prospective clinical review was carried out. Twenty-six consecutive patients with fractures of the distal humerus were treated over a 31-month period. Their mean age was 56 ye...

BACKGROUND Terrible triad injuries consist of a posterior dislocation of the elbow, a coronoid fracture, and a radial head fracture. The coronoid plays a pivotal role as an anterior buttress, yet the optimal management of the coronoid fracture remains unknown. We hypothesize that suture lasso fixation of the coronoid fracture leads to fewer complications and improved outcomes compared with scre...

INTRODUCTION The eponym "Monteggia fracture" includes various patterns of complex fracture-dislocations of the proximal ulna and radius, which are not well defined yet. They are frequently described as Monteggia-like lesions or Monteggia equivalent injuries. Until today, these injury patterns have been reported rarely. The objective of this retrospective study was to better define patterns of i...

Contracture of the collateral ligaments is considered to be an important factor in post-traumatic stiffness of the elbow. We reviewed the results of isolated release of the medial collateral ligament in a series of 14 patients with post-traumatic loss of elbow flexion treated between 1998 and 2002. There were nine women and five men with a mean age of 45 years (17 to 76). They were reviewed at ...

We obtain global bounds in Lorentz-Morrey spaces for gradients of solutions to a class of quasilinear elliptic equations with low integrability data. The results are then applied to obtain sharp existence results in the framework of Morrey spaces for Riccati type equations with a gradient source term having growths below the natural exponent of the operator involved. A special feature of our re...

We deal with linear parabolic (in sense of Petrovskii) systems of order 2b with discontinuous principal coefficients. A’priori estimates in Sobolev and Sobolev– Morrey spaces are proved for the strong solutions by means of potential analysis and boundedness of certain singular integral operators with kernels of mixed homogeneity. As a byproduct, precise characterization of the Morrey, BMO and H...

Abstract. We apply wavelets to study the generalized local Morrey-Campanato spaces Mφ,p(R) and their preduals. As applications, we characterize the multipliers on Mφ,p(R) and the stability of these spaces under the perturbation of Calderón-Zygmund operators. Our results indicate that there exist some Mφ,p(R) without unconditional basis. This fact shows that Mφ,p(R) have some different character...

We will prove that under certain conditions on the parameters operators T+f=max(f,0) and Tf=|f| are bounded mappings Triebel–Lizorkin–Morrey Besov–Morrey spaces. Moreover we show some of mentioned before also necessary. Furthermore in many cases spaces do not have Fubini property.

In this paper we consider the Spanne type boundedness of sublinear operators and prove the Adams type boundedness theorems for these operators and also give BMO (bounded mean oscillation space) estimates for their commutators in generalized Morrey spaces on Heisenberg groups. The boundedness conditions are formulated in terms of Zygmund type integral inequalities. Based on the properties of the...