Let a := (a 1 , .

Let p ∈ (0, ∞) n and A be a general expansive matrix on R n . In this article, via the non-tangential grand maximal function, the authors first introduce the anisotropic mixednorm Hardy spaces H p A (R n ) associated with A and then establish their radial or non-tangential maximal function characterizations. Moreover, the authors characterize H p A (R n ), respectively, by means of atoms, finite atoms, Lusin area functions, Littlewood-Paley g-functions or g * λfunctions via first establishing an anisotropic Fefferman-Stein vector-valued inequality on the mixed-norm Lebesgue space L p (R n ). In addition, the authors also obtain the duality between H p A (R n ) and the anisotropic mixed-norm Campanato spaces. As applications, the authors establish a criterion on the boundedness of sublinear operators from H p A (R n ) into a quasi-Banach space. Applying this criterion, the authors then obtain the boundedness of anisotropic convolutional δ-type and non-convolutional β-order Calderón-Zygmund operators from H p A (R n ) to itself [or to L p (R n )]. As a corollary, the boundedness of anisotropic convolutional δ-type Calderón-Zygmund operators on the mixed-norm Lebesgue space L p (R n ) with p ∈ (1, ∞) n is also presented.

Let a := (a 1 , .

No abstract

In a minimally invasive surgical (MIS) robot, the remote center of motion (RCM) mechanism is usually used to realize the constrained motion of the surgical instrument. In this paper, a novel synthesis method for planar 2-DOF RCM mechanisms is proposed based on closed-loop cable transmissions. The concept is to utilize several coupled cable transmissions to constrain an optimized serial kinematic chain. Through the analysis and determination of the transmission ratios for these cable transmissions, a class of planar 2-DOF RCM mechanisms without any active or passive translational joints is obtained, which provides large workspace and low collision risk for the MIS robots. One of the resulting mechanism is designed in detail and kinematically analyzed. To evaluate the influence of the elastic cables, a new error model for the proposed RCM mechanism is established through static analysis and cable deformation analysis. Utilizing this model, the cable-induced error distributions of the tip and the RCM point are obtained, which show that these errors are within a relatively small range. Furthermore, the prototype of the proposed mechanism is built, and the accuracy experiments are conducted.