Báo cáo hóa học: " Research Article John-Nirenberg Type Inequalities for the Morrey-Campanato Spaces" potx

... w  b   . 3.6 Before proving the theorem, a few clarifying notes follow. If there is no “useful information” see Zitikis 6 for the meaning about the location of the means EvX and EwY  inside the ... Cx, y ≤ 0 for all x and y, then the random variables are negatively quadrant dependent. For applications of these notions of dependence and also for further r...

Ngày tải lên: 21/06/2014, 18:20

... P ∗ γ−2  x  2.30 for arbitrary i, j :1≤ i<j≤ n. Therefore, we get that f ∈ P ∗ γ x. It follows that the inequality 2.14 holds by using Theorem 2.5. Since fI n 0, the equality holds in 2.14 if there ... completes the proof of Theorem 2.5. As an application of Theorem 2.5, we have the following. Theorem 2.8. Let fxAx γ  − A γ x,γ ∈ N and γ ≥ 2. If w ∈ R m  ,X...

Ngày tải lên: 21/06/2014, 18:20

... fulfills the conditions of Theorem 2.3,sothe inequality 3.3 follows from the inequality 2.1 by taking vx1/λw 1 x1/λw 2 x. The proof is complete. The following corollary of the above theorem ... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 890137, 7 pages doi:10.1155/2008/890137 Research Article Some Multiplicative Inequalities...

Ngày tải lên: 22/06/2014, 03:20

... by the Research Project MSM0021622409 of the Ministry of Education of the Czech Republic and the Grant 201/08/0469 of the Grant Agency of the Czech Republic. References 1 V. Bargmann, “On the ... the referees for their valuable remarks and suggestions which contributed substantially to the present version of the paper. The first author is supported by the Grant OT...

Ngày tải lên: 22/06/2014, 03:20

... relay channel. In other words the relays cannot preform zero- forcing between themselves as was done in the previous phase by the base stations. Thus, the rate in the second hop of the downlink (and, ... expected, the performance here is similar to the scheme in [7] where a naive AF protocol was considered. A similar trend holds for the performance in the UL in Figure 5....

Ngày tải lên: 21/06/2014, 08:20

... convolution type. The Volterra difference equations have been thoroughly studied, and there exists an enormous literature for them. For example, there are several results concerning the boundedness, asymptotic ... method, and is explicitly solved using the z-transform method. The connection of the solution of the discrete equivalent logistic equation with the solution of th...

Ngày tải lên: 21/06/2014, 11:20

... Corporation Journal of Inequalities and Applications Volume 2009, Article ID 851236, 15 pages doi:10.1155/2009/851236 Research Article Weighted Norm Inequalities for Solutions to the Nonhomogeneous ... Ding We first prove the local and global two-weight norm inequalities for solutions to the nonhomoge- neous A-harmonic equation Ax, g  duh  d  v for differential for...

Ngày tải lên: 21/06/2014, 20:20

... of separation between the acetate and emulsion layers in the negative. The is observable in the shape information; see Figures 16(c), 16(e),and16(f). For clarity, the difference between the the original ... provided the groundwork for estimating the feasibility of the scanner. The pla- nar test demonstrated the noise introduced by the per- spective projection of th...

Ngày tải lên: 21/06/2014, 20:20

... during the dynamics of the CNN. (2) The final steady state is a local minimum of the energy dE/dt = 0. We shortly prove this theorem for the energy function defined in our system. Making the derivative ... much the properties of the hardwares. Introducing the connection parameters (the template) in the local memories of the chip would take a longer time, but in the sp...

Ngày tải lên: 21/06/2014, 22:20

... f k (T,τ)  dτ  , (1.3) for k = n − 1, ,1,α ≤ t ≤ T ≤ β. The main aim of the present paper is to establish some nonlinear retarded inequalities, which extend the above theorem and other results appeared ... ε →0. This completes the proof.  Ravi P. Agarwal et al. 9 For the special case ϕ(u) = u p (p>1 is a constant), Theorem 2.4 gives the fol lowing retarded integral ine...

Ngày tải lên: 21/06/2014, 22:20