Objective Lumbar puncture (LP) is a diagnostic procedure that accesses the spinal subarachnoid space to measure opening pressure of cerebrospinal fluid (CSF) and obtain samples CSF for analysis. Although commonly performed, LPs are associated with risk morbidity mortality. In addition, thrombocytopenia thought increase LP complications, particularly bleeds. This study compares rates complicatio...

We prove that the well known Lp-error estimates for radial basis function interpolation are optimal provided that the underlying function space is the native Hilbert space of the basis function. Furthermore we give upper bounds for the approximation orders in case of best L1-approximation using radial basis functions.

and Applied Analysis 3 For any Banach space B, the space Lp(0, T;B) consists of all strongly measurable functions u : [0, T] → B equipped with the norm ‖u‖ L p (0,T;B) := (∫ T 0 ‖u (t)‖PBdt) 1/p < ∞ (12) for 1 ≤ p < ∞, and ‖u‖ L ∞ (0,T;B) = ess sup t∈[0,T] ‖u(t)‖B < ∞. (13) And the space C([0, T];B) denotes the set of continuous functions u : [0, T] → B with ‖u‖ C([0,T];B) = max t∈[0,T] ‖u(t)‖B...

Let 1 < p ≤ q < +∞ and let v, w be weights on (0,+∞) satisfying: v(x)xρ is equivalent to a non-decreasing function on (0,+∞) for some ρ ≥ 0; [w(x)x] ≈ [v(x)x] for all x ∈ (0,+∞). Let A be the averaging operator given by (Af)(x) := 1 x R x 0 f(t) dt, x ∈ (0,+∞). First, we prove that the operator A : L((0,+∞); v)→ L((0,+∞); v) is bounded if and only if the operator A : L((0,+∞); v)→ L((0,+∞);w) i...

In this paper, we present a necessary and sufficient condition for the existence of solutions in a Sobolev space W k p (R)(1 6 p 6 ∞) to a vector refinement equation with a general dilation matrix. The criterion is constructive and can be implemented. Rate of convergence of vector cascade algorithms in a Sobolev space W k p (R) will be investigated. When the dilation matrix is isotropic, a char...

where g:(0, 1)-»X is an essentially bounded strongly measurable function. In this paper we examine analogues of the Radon-Nikodym Property for quasiBanach spaces. If 0 < p < 1, there are several possible ways of defining "differentiable" operators on Lp, but they inevitably lead to the conclusion that the only differentiable operator is zero. For example, a differentiable operator on L\ has the...

BACKGROUND The objective of this study was to examine the effectiveness and safety of lower pole (LP) approach in retroperitoneal laparoscopic radical nephrectomy (LRN). METHODS One hundred thirty-two renal cancer patients were scheduled for selective retroperitoneal LRN. The surgery parameters and outcomes were compared. Out of 132 patients, 78 (59.1%) patients underwent LRN via LP approach,...

We define and characterize the harmonic Besov space Bp, 1 ≤ p ≤ ∞, on the unit ball B in Rn. We prove that the Besov spaces Bp, 1 ≤ p ≤ ∞, are natural quotient spaces of certain Lp spaces. The dual of Bp, 1 ≤ p < ∞, can be identified with Bq , 1/p + 1/q = 1, and the dual of the little harmonic Bloch space B0 is B1.