Báo cáo hóa học: "WEIGHT CHARACTERIZATIONS FOR THE DISCRETE HARDY INEQUALITY WITH KERNEL" pot

... (3.16) holds for some s ∈ (0,1/p  ), then the inequality (1.3)holdswith C ≤ inf 0<s<1/p   p − 1 p − sp− 1  1/p  E(s). (3.17) Remark 3.8. For the case d n,k = 1, n,k = 1,2, , the condition ... ith the additional condition that {v n } ∞ n=1 is nonincreasing if and only if the condition (2.4) holds. Moreover, for the best constant C in (3.18), the estimate (2.8)h...

Ngày tải lên: 22/06/2014, 21:20

... C p denote the ring of p-adic integers, the field of p-adic numbers, and the completion of the algebraic closure of Q p , respectively. Let | · | p be the p-adic norm on Q with |p| p = p −1 . For convenience, ... 0 and log is the p-adic logarithm. Note that in (2.10), the term with i = 0 is understood to be 1/log q (the limiting value of the summand in the limit i → 0)...

Ngày tải lên: 20/06/2014, 04:20

... noise to the depth image whose standard deviation for pixel l is proportional to the inverse of the received amplitude for that location. The example of the frames with simulated noise from the TOF ... N candidates in the frame F(t − 1) which yield the N lowest values of the cost function. Then, we continue with the motion estimation for each of the N best cand...

Ngày tải lên: 20/06/2014, 04:20

... participated in the analysis of the results and drafted the manuscript. AV participated in the analysis of the results and helped to draft the manu- script. AP designed the study, participated in the analysis of ... sequences into their own clusters. Placing of the two above men- tioned DOBV sequences derived from southern Russia was more variable, but in most cases they wer...

Ngày tải lên: 20/06/2014, 04:20

... p with p > 1. Therefore, the proof is completed. 4 Proo f of Theorem 1.2 Theorem 1.2 can be regarded as cross-weighted norm inequalities for the Hardy- Little- wood maximal fun ction and the ... L p (v). Therefore, the proof is complete. Now, filling up next lemma, we finish the proof of Theorem 1.2. Lemma 4.3. Under the same assumption as Theorem 1. 2, if a v is defined i...

Ngày tải lên: 20/06/2014, 22:20

... and (3.7) together with A > 0 and B >0. Next, we prove that φ r (x)= F n (x, r) F n ( x, r − 1 ) is increasing with respect to x i (i=1,2, ,n). By the symmetry of j r (x) with respect to ... C r ( u ) C 0 ( u ) > 0. (3:15) The monotonicity of th e function x j − r r ( 1 ≤ j ≤ r −1 ) in (0, +∞)leadstothecon- clusion that (x 1 − x 2 )(x j − r r 1 − x j − r r 2 ) ≤ 0 . (3:16)...

Ngày tải lên: 20/06/2014, 23:20

... after autoclaving. The process was operated in the small-s cale bioreactor (vessel volume 2.0 L) Minifors (Infors, Bott- mingen, Switzerland) for the indicated time period at 28°C in the dark. The medium ... 1. The root squares for the consumpt ion curve fittings were ≥ 0.98. Formation of the mycotoxins could be described logisti- cally and were also fitted according to Eq...

Ngày tải lên: 20/06/2014, 23:20

... an etiology for their fever. This left 209 patients (61.1%) with AUFI eligible for the protocol. The majority of these patients were presenting on the 1st or 2nd day of fever (Figure 2). Of the 113 ... fol- low-up. Of the patients, 53.1% (60/113) experienced defervescence without the need for antimicrobial therapy. All patients experienced resolution of fever, with ten b...

Ngày tải lên: 21/06/2014, 00:20

... perturbation formula for the two-phase membrane problem is considered. We perturb the data in the right-hand side of the two-phase equation. The stability of the solution and the free boundary with respect ... 2011:19 http://www.advancesindifferenceequations.com/content/2011/1/19 Page 7 of 16 The regularity of the solution, the Hausdorff dimension and the regularity...

Ngày tải lên: 21/06/2014, 02:20

... the “Bundesministerium für Bildung und Forschung” (BMBF) for the financial support of this work within the joint project ‘‘BioSysPro’’: New enzymes and processes for biobased products via the ... great potential for the enzymatic synthesis of enantiopure β-amino acids as these enzymes offer the possibility to gain a 100% yield in contrast to the conventional kinetic res...

Ngày tải lên: 21/06/2014, 17:20