Báo cáo hóa học: " Research Article Boundedness of Parametrized Littlewood-Paley Operators with Nondoubling Measures" pot
báo cáo hóa học:" Research Article Boundedness of Littlewood-Paley Operators Associated with Gauss Measures" doc
... of all functions in L∞X, B with bounded support. For p ∈0, ∞,letLpX ⊗ B be the set of all finite linear combinations of elements of B with coefficients in LpX, that is, elements of ... the proof of Theorem 4.45. Littlewood-Paley Operators Fix 0∈ Z.Let{Sk}∞k0be an 0-AOTI as in Definition 3.1.SetD0≡ S0,andDk Sk− Sk−1for k>0. Without loss of generality, ... Theorem 4.1 is an extension of 11, Theorem 2.1 in a more abstractsetting, which can be applied to local versions of operators such as Riesz transforms of anyJournal of Inequalities and Applications...
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Báo cáo hóa học: " Research Article Boundedness of Parametrized Littlewood-Paley Operators with Nondoubling Measures" pot
... CorporationJournal of Inequalities and ApplicationsVolume 2008, Article ID 141379, 25 pagesdoi:10.1155/2008/141379 Research Article Boundedness of Parametrized Littlewood-Paley Operators with Nondoubling ... L2μ -boundedness of M∗,ρλ,implytheinequality 2.25. This finishes the proof of Theorem 2.2.Proof of Theorem 2.7. Recalling that the definition of RBLOμ is independent of the choices of the ... that the parametrized Marcinkiewicz integral with nondoubling measures Mρas in 1.4 is bounded on L2μ. By a similar argument in22, it is easy to obtain the boundedness of the parametrized...
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Báo cáo hóa học: "Research Article µ-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays" doc
... 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 hj,j ∈Λ, and independent of the range of time-varying delay. Thus, it can be applied toimpulsive neural networks with unbounded ... CorporationAdvances in Difference EquationsVolume 2011, Article ID 437842, 12 pagesdoi:10.1155/2011/437842 Research Article µ-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and ContinuouslyDistributed...
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Báo cáo hóa học: " Research Article Systems of Quasilinear Parabolic Equations with Discontinuous Coefficients and Continuous Delays" docx
... this inequality with the use of Gronwallinequality. Then, v ≤ u inDT, and the proof of part i of the lemma is completed. The similarargument 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 EducationCJYKT09-024.References1 ... 0,independent of m.Proof. By Hypothesis H, 3.20,and3.27, the proof similar to that of 15, Lemma 4.4 gives3.31,and,by3.20 and 3.28, the proof similar to that of 15, Lemma 4.3...
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Báo cáo hóa học: " Research Article Commutators of Littlewood-Paley Operators on the Generalized Morrey Space" doc
... Publishing CorporationJournal of Inequalities and ApplicationsVolume 2010, Article ID 961502, 20 pagesdoi:10.1155/2010/961502 Research Article Commutators of Littlewood-Paley Operators on theGeneralized ... “Weighted Lp boundedness for parametrized Littlewood-Paley operators, ”Taiwanese Journal of Mathematics, vol. 11, no. 4, pp. 1143–1165, 2007.6 M. Sakamoto and K. Yabuta, Boundedness of Marcinkiewicz ... the linear operators, hence, we need new ideas and nontrivialestimates in the proof.2. Proof of Theorem 1.2Let us begin with recalling some known conclusion.Similar to the proof of 17, we...
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Báo cáo hóa học: " Research Article Impact of Base Station Cooperation on Cell Planning" potx
... parameters of the example multicell network.Parameters ValuesNumber of sites 27Number of sectors (Cells) per Site 3Number of UEs per cell 10Cell shape HexagonalCarrier frequency 2 GHzNo. of BS ... null-space vectors of ˙Huand VBD,uis the right SVD matrix of theequivalent channelHuQBD,u.In BSC-BD-SVD, the LCRs and LUNRs of the otherpresently scheduled UEs affect the value of QBD,u,andconsequently ... Networking6.2.1. Cardinality of the MSCLP and Its Extensions. WithoutBSC, the cardinality of the MSCLP and its extensions is|PNC|=n=NbudgetBn=1NLCn. (25)Under BSC with static clustering...
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Báo cáo hóa học: "Research Article Univalence of Certain Linear Operators Defined by Hypergeometric Function" pdf
... pagesdoi:10.1155/2009/807943 Research Article Univalence of Certain Linear Operators Defined byHypergeometric FunctionR. Aghalary and A. EbadianDepartment 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 functions. Relevant connections of the ... 2.2 we get results of 10.We follow the method ofproof adopted in 11.Theorem 2.4. Let n ≥ 2,a/ 0,c∈ C with Re c ≥ 0/ c and the function ϕz1 b1z b2z2 ··· with bn/ 0 be...
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Báo cáo hóa học: "Research Article Reconstruction of Sensory Stimuli Encoded with Integrate-and-Fire Neurons with Random Thresholds" pptx
... analyticalevaluation of the entries of the matrix F is straightforward.4.2.2. Recovery of S2-Stimuli Encoded with a Population of LIF Neurons with Random Thresholds. Let u be a signal with absolutely ... asprojections of the stimulus u on a set of functions in the spaceSm.2.3. Encoding of Stimuli with a Population of LIF Neurons. Inthis section we briefly discuss the encoding of stimuli with a population ... recovery of stimuli encoded with a pair of rectifier neurons is presented.Section 4 generalizes the previous results to stimuli encoded with a population of LIF neurons. The paper concludes with Section...
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Báo cáo hóa học: " Research Article Analysis of Coded FHSS Systems with Multiple Access Interference over Generalized Fading Channels" ppt
... (6), wdis the number of codewordswithoutputweightd obtained from the weightenumerator of the code [12].In FHSS systems, the PEP in (6) is a function of the distribution of the d nonzero bits ... itspdf 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 Nakagamiparameter μ ... x>0.(17)Since users collide with probability phand the total number of users is K, the number of interfering users is a binomialrandom variable with parameters phand K.Hence,thepdf of the SINR is found...
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Báo cáo hóa học: " Research Article Subclasses of Meromorphic Functions Associated with Convolution" ppt
... subset of the class Mqgh.Proof. The proof follows from the definition of the classes by taking f ϕ.Theorem 3.11. The function f ∈Mqgh if and only if −zf∈Mcgh.Proof. If f ... properties of these newly definedclasses.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 class Rα of prestarlikefunctions ... subclasses of M are defined by means of convolution andsubordination. Let g be a fixed function in M,andleth be a convex univalent function with positive real part in U and h01.Journal of Inequalities...
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