... 3.38 z∈B The proof of Theorem 3.3 follows by the proof of Theorem 3.1 So, we omit the details here Theorem 3.4 Let < p, s < ∞, −n − < q < ∞, and let μ be normal, g ∈ H B and n then the following ... 2.5, the compactness of the operator Tg : F p, q, s proof of this theorem is completed → Zμ follows The Theorem 3.5 Let < p, s < ∞, −n − < q < ∞, and let μ be normal, g ∈ H B and n then the following ... holds for the case n q p by 3.20 and 3.21 Exploiting Lemma 2.6, the compactness of the operator Tg : F p, q, s → Zμ,0 follows The proof of this theorem is completed Finally, we consider the case...
... for the case of p ≥ For related results in the setting of the unit ball, see, for example, [1, 6, 7] and the references therein Here, we study the weighted composition operators between the mixed ... we get the following result We omit the details of the proof Theorem 5.2 Suppose that ϕ is an analytic self-map of the unit ball, u ∈ H(B), < α, p, q < ∞, and φ is normal on [0,1) Then the following ... c The case α > is somewhat complicated and we not have an equivalent condition ∞ for the boundedness of uCϕ : Hα →H(p, q,φ) at the moment Using the argument in the proof of Theorem 5.1 and the...
... following theorem, which is the main theorem of this paper Theorem 2.5 Let Cψ,ϕ be a compact operator on the weighted Hardy space H (β,BN ) If ϕ has only one fixed point in the unit ball, then the spectrum ... = 0, then the operator Tb Cϕ is compact on H (BN ) If ϕ has a fixed point inside the ball, Theorem 2.5 gives the spectrum Therefore, we compute the spectrum when ϕ has no fixed point inside the ... unit ball Therefore, the sequence {ϕn } converges uniformly to e1 on V Z.-H Zhou and C Yuan Considering a point ξ on the unit sphere, then ϕ(ξ) is either in W or V If ϕ(ξ) is in V , then there...
... following theorem, which is the main theorem of this paper Theorem 2.5 Let Cψ,ϕ be a compact operator on the weighted Hardy space H (β,BN ) If ϕ has only one fixed point in the unit ball, then the spectrum ... = 0, then the operator Tb Cϕ is compact on H (BN ) If ϕ has a fixed point inside the ball, Theorem 2.5 gives the spectrum Therefore, we compute the spectrum when ϕ has no fixed point inside the ... unit ball Therefore, the sequence {ϕn } converges uniformly to e1 on V Z.-H Zhou and C Yuan Considering a point ξ on the unit sphere, then ϕ(ξ) is either in W or V If ϕ(ξ) is in V , then there...
... Ig for the case of holomorphic functions on the unit ball as follows: Lg f (z) = f (tz)g(tz) dt , t z ¾ B (1.16) To the best of our knowledge operator Lg on the unit ball is introduced in the present ... the first time The purpose of this paper is to study the boundedness of the two Riemann-Stieltjes operators Tg , Lg from F(p, q,s) to α-Bloch space The corollaries of our results generalized the ... and the Ces` ro operator on H p , Journal of the London a Mathematical Society Second Series 36 (1987), no 1, 153–164 , The Ces` ro operator is bounded on H , Proceedings of the American Mathematical...
... in the Hilbert ball with the hyperbolic metric I, Commentationes Mathematicae Universitatis Carolinae 29 (1988), no 3, 399–402 , Extensions of nonexpansive mappings in the Hilbert ball with the ... inward, then it has a fixed point This theorem is due to Halpern and Bergman [6] A simple proof can be found in [13] The range condition We begin this section with the proof of Theorem 1.1 Proof of Theorem ... each ρ -ball and has no null point, then its resolvents (I + r f )−1 , r > 0, which are well-defined on all of B by Theorem 1.1, are fixed point free and all of them share the same sink point on the...
... Apart from the percutaneous placements of the intra aortic balloon, another two major steps have been the reduction of the balloon’s diameter and the sheathless technique Although there has been ... progress in further reduction of the catheter’s internal diameter with a balloon at 7.5Fr, there has been no similar reduction in the outer diameter of the catheter, which is still 11 Fr The use of ... associated with the balloon has occurred in 5.9% of the patients that died while the balloon had not yet been removed The highest complication rate of 23.2% occurred in patients from whom the balloon...
... away, but the succeeding generation will return The sons take the places of their fathers same site will for the village, the same lands those them ; ; the position for the houses, the be reoccupied ... by the smith, the carpenter, the barber, the potter, and have all their places in the little society, who are all dependent for their support upon the agriculture of the group, and hand on their ... intervention on the part of the ment that might Government " aristocracy protect to " their Of tenants the thus created at the expense of the serious impoverishment of the ryots the less said the better...
... identity: are the person who committed the act and the person who is made to pay for it – one and the same? If the answer is in the affirmative, in which sense are they the same, the physical, the mental? ... hold? The Matrix controls the minds of all the humans in the world It is a bridge between them, they inter-connected through it It makes them share the same sights, smells and textures They remember ... humiliation "Truman Shows" is the more common phenomenon in the movie industry Then there is the question of the director of the movie as God and of God as the director of a movie The members of his team...
... we consider the case that the underlying manifold is the unit ball in the Euclidean space Let (B n+1 , gE ) be the n + (n ≥ 2) dimensional unit ball with Euclidean metric gE Then the boundary ... as the mean curvature of any metric in the conformal class of the standard Euclidean metric In the divergent case of the flow, we analyze the asymptotic behavior of the flow With the help of the ... this thesis, we studied the problem of the existence of conformal metrics on n + dimensional unit ball in Euclidean space with the prescribed mean curvature The major finding of the thesis is the...
... lubricant to theball raceway of theball screw shaft This allows an oil film to be formed between the balls and theball raceway, thus improving lubricity and significantly extending the lubrication ... apply the lubricant to the raceway) and (3) an oil control plate (to control the flow of the lubricant) The lubricant contained in QZ Lubricator is fed to theball screw shaft, based on the principle ... designed to feed the required minimum amount of lubricant to theball raceway, and therefore it does not have a dust-prevention effect on the whole Ball Screw Wiper Ring “W” for theBall Screw b...
... each one The script is based on a x86 emulator Spot the checksum entry-point: the pointer initialization Detect the end of the loop Then, replace the whole loop by a simple affectation to the final ... breakpoints before and after the checksumer of the twin process Use the twin process to compute the checksum value Write it down Report it into the first process and jump the checksumer Go to point ... Layer The public IP Problem 1: how does Skype know the public IP ? At the begining, it uses 0.0.0.0 Its peer won’t be able to decrypt the message (bad CRC) =⇒ The peer sends a NAck with the public...
... by their celebrity, their wit, their beauty, their historical interest, or the light they might happen to throw on the obscure biography of the most remarkable actors in the scenes which they ... moon, we hail thee We have seen the bear bestride thee, And the clouds of winter hide thee, But the moon is changed And here we are ranged, Brave man o' the moon, we bide thee The man o' the moon ... Or The Disbanded Souldier The Courtier's Health; Or, The Merry Boys Of The Times The Loyal Tories' Delight; Or A Pill For Fanaticks The Royal Admiral The Unfortunate Whigs The Downfall Of The...
... talk about the crispy beans on top and the mushy beans on the bottom Then he explained the process Van Camp’s used to select their beans, of the soft water they used, how they made the skins less ... of the book club would be notified of the selection of the month and then it would be sent automatically to them unless they sent back the BRE (business reply envelope) provided This way if they ... ran the same guarantee in their ad But guess who got the credit for the guarantee? That’s right the original store So take the time now to write down what you in your practice (even if it’s the...
... wire and frame The nest of concentric rings was the station itself; the chaos around it, the staging area for the orbital energy grid The Aleph system managed everything, from the routine flow ... epiphany in the form of a bright hologram, which springs into being over the consoles they manipulate To them the current systems problems were something on the order of original sin, so they approached ... nerves, not just the sensory ones, but cells deep inside the brain, the ones that when they fire, make you crazy Help the handicapped, I thought—fall in love with the blind I returned to the Ops Room...
... in the second race that was audited in the VVPAT condition For the optical-scan ballots, the instructions asked the participants to tally the marked votes on the stack of ballots Because the ballots ... background The yellow background enables the auditor to easily find the ballot frames In the lower right hand corner of the video ballot, the video player places a number that represents the ballots ... video ballot (See Figure 3) The audio read the ballot The study participants would simply advance the images using Powerpoint to hear the ballot and conduct the audit Each slide was a ballot...
... to the election judges by the Chair of the Board of Elections, the use of the scanner was considerably smoother With a few ballots, the privacy sleeve was not letting go of the ballots; one ballot ... commitments to them Scantegrity published the stock market data, the challenges, and the responses Ballot Design The ballot used for the 2009 election was based on ballots used for the 2007 election ... a ballot, and then either making a photocopy of the fully-marked ballot or copying down all of the revealed confirmation codes The ballot ID is recorded by an election judge as audited After the...
... play in the United States Rather than merely recounting the deaths, we will place them in context, addressing the factors that led to them and the changes in the game that resulted from them, including ... on theball itself, asserting that a “rough” spot on theball caused it to sail in toward Chapman He also felt that Chapman either failed to see theball or that he was “hypnotized by the ball, ” ... on the head by both a thrown and a batted ball while warming up before a game in Dayton, KY, on June 25, 1910 At the exact moment the batter hit the ball, someone else threw another ball at the...