| 1. |
- Barza, Sorina, et al.
(författare)
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On weighted multidimensional embeddings for monotone functions
- 2001
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Ingår i: Mathematica Scandinavica. - : Det Kgl. Bibliotek/Royal Danish Library. - 0025-5521 .- 1903-1807. ; 88:2, s. 303-319
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Tidskriftsartikel (refereegranskat)abstract
- We characterize the inequality (∫RN+ fqu)1/q ≤ C(∫RN+fpv)1/p, 0 < q, p < ∞, for monotone functions f ≥ 0 and nonnegative weights u and v. The case q < p is new and the case 0 < p ≤ q < ∞ is extended to a modular inequality with N-functions. A remarkable fact concerning the calculation of C is pointed out
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| 2. |
- Chiotis, Konstantinos, et al.
(författare)
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Dual tracer tau PET imaging reveals different molecular targets for C-11-THK5351 and C-11-PBB3 in the Alzheimer brain
- 2018
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Ingår i: European Journal of Nuclear Medicine and Molecular Imaging. - : Springer Science and Business Media LLC. - 1619-7070 .- 1619-7089. ; 45:9, s. 1605-1617
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Tidskriftsartikel (refereegranskat)abstract
- Several tau PET tracers have been developed, but it remains unclear whether they bind to the same molecular target on the heterogeneous tau pathology. In this study we evaluated the binding of two chemically different tau-specific PET tracers (C-11-THK5351 and C-11-PBB3) in a head-to-head, in vivo, multimodal design. Nine patients with a diagnosis of mild cognitive impairment or probable Alzheimer's disease and cerebrospinal fluid biomarker evidence supportive of the presence of Alzheimer's disease brain pathology were recruited after thorough clinical assessment. All patients underwent imaging with the tau-specific PET tracers C-11-THK5351 and C-11-PBB3 on the same day, as well as imaging with the amyloid-beta-specific tracer C-11-AZD2184, a T1-MRI sequence, and neuropsychological assessment. The load and regional distribution of binding differed between C-11-THK5351 and C-11-PBB3 with no statistically significant regional correlations observed between the tracers. The binding pattern of C-11-PBB3, but not that of C-11-THK5351, in the temporal lobe resembled that of C-11-AZD2184, with strong correlations detected between C-11-PBB3 and C-11-AZD2184 in the temporal and occipital lobes. Global cognition correlated more closely with C-11-THK5351 than with C-11-PBB3 binding. Similarly, cerebrospinal fluid tau measures and entorhinal cortex thickness were more closely correlated with C-11-THK5351 than with C-11-PBB3 binding. This research suggests different molecular targets for these tracers; while C-11-PBB3 appeared to preferentially bind to tau deposits with a close spatial relationship to amyloid-beta, the binding pattern of C-11-THK5351 fitted the expected distribution of tau pathology in Alzheimer's disease better and was more closely related to downstream disease markers.
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| 3. |
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| 4. |
- Gogatishvili, Amiran, et al.
(författare)
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Some scales of equivalent conditions to characterize the Stieltjes inequality : the case q
- 2014
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Ingår i: Mathematische Nachrichten. - : Wiley. - 0025-584X .- 1522-2616. ; 287:2-3, s. 242-253
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Tidskriftsartikel (refereegranskat)abstract
- We prove that the weighted Stieltjes inequality can be characterized by four different scales of conditions also for the case , . In particular, a new proof of a result of G. Sinnamon is given, which also covers the case . Moreover, for the situation at hand a new gluing theorem and also an equivalence theorem of independent interest are proved and discussed. By applying our new equivalence theorem to weighted inequalities for the Stieltjes transform we obtain the four new scales of conditions for characterization of Stieltjes inequality
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| 5. |
- Joffrin, E., et al.
(författare)
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Overview of the JET preparation for deuterium-tritium operation with the ITER like-wall
- 2019
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Ingår i: Nuclear Fusion. - : IOP Publishing. - 1741-4326 .- 0029-5515. ; 59:11
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Forskningsöversikt (refereegranskat)abstract
- For the past several years, the JET scientific programme (Pamela et al 2007 Fusion Eng. Des. 82 590) has been engaged in a multi-campaign effort, including experiments in D, H and T, leading up to 2020 and the first experiments with 50%/50% D-T mixtures since 1997 and the first ever D-T plasmas with the ITER mix of plasma-facing component materials. For this purpose, a concerted physics and technology programme was launched with a view to prepare the D-T campaign (DTE2). This paper addresses the key elements developed by the JET programme directly contributing to the D-T preparation. This intense preparation includes the review of the physics basis for the D-T operational scenarios, including the fusion power predictions through first principle and integrated modelling, and the impact of isotopes in the operation and physics of D-T plasmas (thermal and particle transport, high confinement mode (H-mode) access, Be and W erosion, fuel recovery, etc). This effort also requires improving several aspects of plasma operation for DTE2, such as real time control schemes, heat load control, disruption avoidance and a mitigation system (including the installation of a new shattered pellet injector), novel ion cyclotron resonance heating schemes (such as the three-ions scheme), new diagnostics (neutron camera and spectrometer, active Alfven eigenmode antennas, neutral gauges, radiation hard imaging systems...) and the calibration of the JET neutron diagnostics at 14 MeV for accurate fusion power measurement. The active preparation of JET for the 2020 D-T campaign provides an incomparable source of information and a basis for the future D-T operation of ITER, and it is also foreseen that a large number of key physics issues will be addressed in support of burning plasmas.
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| 6. |
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| 7. |
- Johansson, Maria, et al.
(författare)
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Hardy inequality with three measures on monotone functions
- 2008
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Ingår i: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 11:3, s. 393-413
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Tidskriftsartikel (refereegranskat)abstract
- Characterization of Lvp[0, ∞) - L μq[O, ∞) boundedness of the general Hardy operator (Hsf)(x) =(∫[0,x] fsudλ) 1/s restricted to monotone functions f ≥ 0 for 0 < p.q.s < ∞ with positive Borel σ -finite measures λ, μ and v is obtained.
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| 8. |
- Marcoci, Anca-Nicoleta
(författare)
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Some new results concerning Banach spaces of infinite matrices and Lorentz sequence spaces
- 2010
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Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
- This PhD thesis consists of an introduction and five papers, Which deal with some new spaces of infinite matrices and Lorentz sequence spaces.In the introduction we give an overview of the area that serves as a frame for the rest of the thesis. In particular, a short description of Schur multipliers is given.In Paper 1 we prove that the space of all bounded operators on $ \ ell ^ $ 2 is contained in the space of all Schur multipliers on $ B_w (\ ell ^ 2) $, where $ B_w (\ ell ^ 2) $ is the space of linear (unbounded) operators on $ \ ell ^ 2 $ which map sequences decreasing from $ \ ell ^ $ 2 into sequences from $ \ ell ^ 2 $.In Paper 2 using a special kind of Schur multipliers and G. Bennett 's actually Riza tion technique we characterize the upper triangular matrices positive from $ B_w (\ ell ^ p) $, $ 1 In Paper 3 we consider the Lorentz spaces $ \ ell ^ (p, q) $ in the range $ 1 \ [\ | x \ | _ (p, q) = \ left (\ sum_ (n = 1) ^ \ infty (x_n ^ *) ^ qn ^ (\ frac (q) (p) -1) \ right) ^ \ frac (1) (q)\]is only a quasi-norm. In particular, we derive the optimal constant in the triangle inequality for this quasi-norm, Which leads us to consider the following decomposition rule:\ [\ | x \ | _ ((p, q)) = \ inf \ (\ sum_k \ | x ^ ((k)) \ | _ (p, q) \);\]Where the Infimum is taken over all finite representation $ x = \ sum_k x ^ ((k)) $.In Paper 4 we denotes by $ B_p (\ ell ^ 2) $ the Besov-Schatten space of all upper triangular matrices $ A $ such that\ [\ | A \ | _ (B_p (\ ell ^ 2)) = \ left [\ int_0 ^ 1 (1-r ^ 2) ^ (2p) \ | A''(r) \ | _ (C_p) ^ pd \ lambda (r) \ right] ^ \ frac (1) (p) <\ infty.\]and we prove a natural relationship between the Bergman projection and the Besov-Schatten spaces.In Paper 5, given a matrix $ A $ satisfying that\ [Ax \ in \ ell ^ p \ text (for every) x \ in \ ell ^ p \ text (with) | x_k | \ searrow 0\]For $ 1 \ leq p <\ infty $, we show that\ [A \ in B_w (\ ell ^ p) \ text (if and only if) \ sup_ (n \ in \ mathbb N ^ *) \ left (\ frac (1) (n) \ sum_ (k = 1) ^ n | a_k | ^ p \ right) ^ \ frac (1) (p) <\ infty\]For $ A = a_0 $ given by $ a = (a_k) _ (k \ in \ mathbb (N)) $. We prove that there exist some classes of operators either Belonging to $ B_w (\ ell ^ p) $ or to the space of all Schur multipliers on $ B_w (\ ell ^ p) $.
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| 9. |
- Moiseenko, Vladimir, et al.
(författare)
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Fast wave heating in a mirror during plasma build-up
- 2010
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Ingår i: European Physical Journal D. - : Springer Science and Business Media LLC. - 1434-6060 .- 1434-6079. ; 56:3, s. 359-367
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Tidskriftsartikel (refereegranskat)abstract
- A heating method for partially ionized plasma has been described in reference [V.E. Moiseenko, Sov. J. Plasma Phys. 12, 427 (1986)]. It exploits the collisional damping of fast waves that is large owing to the high rate of charge exchange collisions. Since the time of heating is limited by the duration of neutral gas ionization, the heating needs to be strong enough to achieve a high final ion temperature. This heating method has been studied numerically in the framework of MHD-like (magneto-hydrodynamic) equations in inhomogeneous cylindrical plasma. The influences of the ratio of the mean free path of the neutral atoms to the plasma radius, the initial ion concentration, the characteristics of the interaction of the neutral atoms with the chamber wall and other parameters on the plasma heating dynamics are examined. A scenario for RF plasma heating in one central cell of the multi-mirror device GOL3 (Novosibirsk, Russia) is developed, in which the final ion temperature exceeds the ion oscillation energy in the RF field by one order of magnitude. The energy efficiency is high; only a small portion of the power is transferred by the neutral atoms to the chamber wall.
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| 10. |
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