Local property of a class of m subharmonic functions and applications

Ngày tải lên: 07/11/2012, 14:24

... overview on figures of speech in general and substitutive figures of speech in particular Chapter II, the main part of the paper, focuses on two substitutive figures of speech, synecdoche and metonymy, ... chapter or certain parts of a chapter In the first part, we review the literature of figures of speech in general and the two figures of speec...

Ngày tải lên: 07/11/2012, 14:24

... Annals of Mathematics, 163 (2006), 767–807 Divisibility of anticyclotomic L -functions and theta functions with complex multiplication By Tobias Finis Introduction The divisibility properties of Dirichlet ... number of units in K, and ν(D) the number of distinct prime divisors of D Theta functions, Shintani operators and anticyclotomic L-values This s...

Ngày tải lên: 06/03/2014, 08:21

... eik,x+ilc,y = x Jn(kpP)e =e’lC,pCOS(~-~k) (1.4.27) n=-00 Hence eik,x+ikvy+ik, Using z - k, = kcos &, y: Rg$n(kp, kz,F)e-in4k+inr/2 k, = iii~;k, and (1.4.19 ), ik,x+ilc,y+ik,z )= n=-00 RgIM,(Ic ,, ... vector functions V$! @, , cx = 1,2 , and They are defined by [Morse and Feshbach, 19531 4) v:!,ce, 4) = Pmn(e, = py:p, 4) 6) (n VE!$ ?, (n = 1,2 , 3, qb) = B ,, (...

Ngày tải lên: 17/03/2014, 13:40

... Development of Polyethylene Production Processes Morphology and Crystallization of Polyethylene Properties of Polyethylene Characterization and Testing The Chemistry of Polyethylene Orientation of Polyethylene ... types of ionomers can exhibit a noticeable taste and odor Cross-Linked Polyethylene The properties of cross-linked polyethylene depend very muc...

Ngày tải lên: 02/04/2014, 16:27

... Cheetham (Eds.) The Chemistry of Nanomaterials Synthesis, Properties and Applications in Volumes Volume Prof Dr C N R Rao CSIR Centre of Excellence in Chemistry and Chemistry and Physics of Materials ... nanowires and nanotubes, collections of these nanostructures in the form of arrays and superlattices are of vital interest to the science and technolog...

Ngày tải lên: 04/06/2014, 14:19

... n ® ∞ Therefore, T(x) = S(x) for all x Î X This completes the proof □ The following is a local Hyers-Ulam stability of the Pexiderized Cauchy functional equation in fuzzy normed spaces Theorem ... Hyers-Ulam stability of Jensen’s equation In 1998, Jung [16] investigated the Hyers-Ulam stability for Jensen’s equation on a restricted domain In this section, w...

Ngày tải lên: 20/06/2014, 22:20

... 2 Fixed point theorems in generating spaces Definition 2.1 Let X be a linear space over E and θ the origin of X Let Q = | · |α : α ∈ (0,1] (2.1) be a family of mappings from X into [0,+∞) ... and closed in X (ii) A subset of X is compact if and only if it is precompact and complete Proof It follows from Lemma 2.4 and [4, pages 59–61] 4 Fixed point theorems...

Ngày tải lên: 22/06/2014, 22:20

... equilibrium solution exists and is a global attractor of the system The plan of the paper is as follows In Section 2, we show the existence and uniqueness of a positive global solution to the general system ... devoted to differential systems, including various Lotka-Volterra- type equations (cf [2, 3, 5, 7, 8, 12, 15, 19, 20]) Later development leads to various forms...

Ngày tải lên: 23/06/2014, 00:20

... as well as its orthocenter H (in this case, all of A2 , B2 , C2 coincide with H) Therefore, k is the Jerabek hyperbola Here follow some corollaries of this fact ONE PROPERTY OF THE JERABEK HYPERBOLA ... HYPERBOLA AND ITS COROLLARIES 55 Statement Let P be a point on the Euler line of ABC, A1 B1 C1 be the circumcevian triangle of P , and A2 , B2...

Ngày tải lên: 18/07/2014, 22:48

... from day to day and returned on day 14 to the level of control mice at day The expression of cystatin B was increased about twofold on day of the acute stage (Fig 3a) Like the expression of cathepsins, ... US, NS and CP analysed the MMP, cathepsin and cytokine expression by real-time PCR MH performed the zymography, the MMP activity assay and the cytoki...

Ngày tải lên: 09/08/2014, 06:22

... investigated intensively in recent years by many authors, see [6], [14], [24] We also recall the Cegrell classes of m-subharmonic functions Fm (Ω ) and Em (Ω ) Local property of a class of m-subharmonic ... comments that led to improvements in the exposition of the paper Local property of a class of m-subharmonic functions 23 References Bedford, E., Taylor, B...

Ngày tải lên: 12/10/2015, 10:37

... a compact subset of Ω implies that v ≤ u on Ω Local property of a class of m- subharmonic functions and applications By M SHm (Ω) we denote the set of m- maximal functions on Ω One of essential ... uj ≤ vj By Lemma 3.3 we have χ(vj )(ddc vj )m ∧ β n m sup j Ω ≤ 2m max (a, 2) sup χ(uj )(ddc uj )m ∧ β n m < +∞ j Ω Local property of a class of...

Ngày tải lên: 16/10/2015, 09:36

... dependence of zone center libron frequencies and the pressure dependence of the three vibron modes of vibration in solid CO2 at pressures ≤ p ≤ 16 GPa and temperatures ≤ T ≤ 300 K[12] Properties of solid ... and pressure We only have the experimental data for the phase diagram and the molar volume of α -CO2 and α-N2 O under pressure The dependence of thermody...

Ngày tải lên: 30/10/2015, 20:58