Báo cáo hóa học: " Research Article Boundedness of Parametrized Littlewood-Paley Operators with Nondoubling Measures" pot

... of all functions in L ∞ X, B with bounded support. For p ∈ 0, ∞,letL p X ⊗ B be the set of all finite linear combinations of elements of B with coefficients in L p X, that is, elements of ... the proof of Theorem 4.4 5. Littlewood-Paley Operators Fix  0 ∈ Z.Let{S k } ∞ k 0 be an  0 -AOTI as in Definition 3.1.SetD  0 ≡ S  0 ,andD k  S k − S k−1 for k> 0 . Wit...

Ngày tải lên: 21/06/2014, 18:20

... Corporation Journal of Inequalities and Applications Volume 2008, Article ID 141379, 25 pages doi:10.1155/2008/141379 Research Article Boundedness of Parametrized Littlewood-Paley Operators with Nondoubling ... L 2 μ -boundedness of M ∗,ρ λ ,implythe inequality 2.25. This finishes the proof of Theorem 2.2. Proof of Theorem 2.7. Recalling that the definition of...

Ngày tải lên: 22/06/2014, 06:20

... Hopfield, “Neurons with graded response have collective computational properties like those of two-state neurons,” Proceedings of the National Academy of Sciences of the United States of America, vol. 81, ... bound of the derivative of time-varying delay and the delay kernels h j ,j ∈ Λ, and independent of the range of time-varying delay. Thus, it can be applied to impulsiv...

Ngày tải lên: 21/06/2014, 05:20

... this inequality with the use of Gronwall inequality. Then, v ≤ u in D T , and the proof of part i of the lemma is completed. The similar argument gives the proof of part ii of the lemma. Advances ... comments. The work was supported by the research fund of Department of Education of Sichuan Province 10ZC127 and the research fund of Sichuan College of Education...

Ngày tải lên: 21/06/2014, 05:20

... Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 961502, 20 pages doi:10.1155/2010/961502 Research Article Commutators of Littlewood-Paley Operators on the Generalized ... “Weighted L p boundedness for parametrized Littlewood-Paley operators, ” Taiwanese Journal of Mathematics, vol. 11, no. 4, pp. 1143–1165, 2007. 6 M. Sakamoto a...

Ngày tải lên: 21/06/2014, 07:20

... parameters of the example multicell network. Parameters Values Number of sites 27 Number of sectors (Cells) per Site 3 Number of UEs per cell 10 Cell shape Hexagonal Carrier frequency 2 GHz No. of BS ... null- space vectors of ˙ H u and V BD,u is the right SVD matrix of the equivalent channel  H u Q BD,u . In BSC-BD-SVD, the LCRs and LUNRs of the other presently scheduled UEs...

Ngày tải lên: 21/06/2014, 17:20

... pages doi:10.1155/2009/807943 Research Article Univalence of Certain Linear Operators Defined by Hypergeometric Function R. Aghalary and A. Ebadian Department of Mathematics, Faculty of Science, Urmia University, ... object of the present paper is to investigate univalence and starlikeness of certain integral operators, which are defined here by means of hypergeometric functi...

Ngày tải lên: 21/06/2014, 20:20

... analytical evaluation of the entries of the matrix F is straightforward. 4.2.2. Recovery of S 2 -Stimuli Encoded with a Population of LIF Neurons with Random Thresholds. Let u be a signal with absolutely ... as projections of the stimulus u on a set of functions in the space S m . 2.3. Encoding of Stimuli with a Population of LIF Neurons. In this section we briefly disc...

Ngày tải lên: 21/06/2014, 20:20

... (6), w d is the number of codewordswithoutputweightd obtained from the weight enumerator of the code [12]. In FHSS systems, the PEP in (6) is a function of the distribution of the d nonzero bits ... its pdf which is a function of the number of interfering users. The conditional pdf of the SINR, given that the number of interfering users is k for integer values of the Nakagam...

Ngày tải lên: 21/06/2014, 23:20

... subset of the class M q g h. Proof. The proof follows from the definition of the classes by taking f  ϕ. Theorem 3.11. The function f ∈M q g h if and only if −zf  ∈M c g h. Proof. If f ... properties of these newly defined classes. We will need the following definition and results to prove our main results. Let S ∗ α denote the class of starlike functions of order α. The clas...

Ngày tải lên: 22/06/2014, 03:20