Absolutely continuous measures and compact composition operator on spaces of Cauchy transforms
The analytic self‐map of the unit disk D, φ is said to induce a composition operator Cφ from the Banach space X to the Banach space Y if Cφ(f) = f∘φ ∈ Y for all f ∈ X. For z ∈ D and α > 0, the families of weighted Cauchy transforms Fα are defined by f(z)=∫TKxα(z)dμ(x), where μ(x) is complex Borel measure, x belongs to the unit circle T, and the kernel ...
Yusuf Abu Muhanna, El-Bachir Yallaoui
wiley +1 more source
On vector‐valued Hardy martingales and a generalized Jensen′s inequality
We establish a generalized Jensen′s inequality for analytic vector‐valued functions on 𝕋N using a monotonicity property of vector‐valued Hardy martingales. We then discuss how this result extends to functions on a compact abelian group G, which are analytic with respect to an order on the dual group.
Annela R. Kelly, Brian P. Kelly
wiley +1 more source
A note on Hammersley′s inequality for estimating the normal integer mean
Let X1, X2, …, Xn be a random sample from a normal N(θ, σ2) distribution with an unknown mean θ = 0, ±1, ±2, …. Hammersley (1950) proposed the maximum likelihood estimator (MLE) d=[X¯n], nearest integer to the sample mean, as an unbiased estimator of θ and extended the Cramér‐Rao inequality.
Rasul A. Khan
wiley +1 more source
Self‐similar random fractal measures using contraction method in probabilistic metric spaces
Self‐similar random fractal measures were studied by Hutchinson and Rüschendorf. Working with probability metric in complete metric spaces, they need the first moment condition for the existence and uniqueness of these measures. In this paper, we use contraction method in probabilistic metric spaces to prove the existence and uniqueness of self‐similar
József Kolumbán +2 more
wiley +1 more source
Two modern hyperbolic methods—a second‐order Godunov method in the software package CLAWPACK and the second‐order Nessyahu–Tadmor–Kurganov (NTK) central scheme—are compared for simulating an electron shock wave in the classical hydrodynamic model for semiconductor devices.
Carl L. Gardner +2 more
wiley +1 more source
On the projections of Laplacians under Riemannian submersions
We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace‐Beltrami operator on M. Equivalently, this condition ensures that a Riemannian submersion maps Brownian motion to a diffusion.
Huiling Le
wiley +1 more source
Food Allergy Based on Serum Specific IgE in Republic of Macedonia [PDF]
ОСÐОВÐ: Ðлергијата кон храна Ñе дефинира како неÑакан имун одговор кој Ñе јавува при повторувачки изложувања на било кој вид на храна и може д
Efinska-Mladenovska, Olivija +4 more
core +2 more sources
Structure of Patients Treated in Intensive Coronary Care Unit on Department for Internal Medicine – PHO General Hospital Kumanovo – in the Period from 2009-2013 Year [PDF]
ОСÐОВÐ: Главната функција на коронарната единица е доÑтапноÑÑ‚ на телеметрија или континуирано Ñледење на Ñрцевиот ритам и крвниот притиÑок пр
Anchevski, Tomica
core +2 more sources
Верификација на квалитативни методи Ñо теÑÑ‚ ленти за иÑпитување на дроги кои Ñе злоупотребуваат во урина [PDF]
The verification of the qualitative method with test devices for detection of eight drugs of abuse in urine (amphetamines, methamphetamine, barbiturates, benzoylecgonine, marijuana, 3,4-methylendioxy-methamphetamine, methadone, and opiates) was ...
ТопузовÑка (Topuzovska), Соња (Sonja) +4 more
core +1 more source
The federal budget may lose 85 billion rubles. as a result of additional capitalization of the banking sector [PDF]
Original title in Russian is Федеральный бюджет может потерÑть 85 млрд руб.
Russian Federation: Accounts Chamber of the Russian Federation
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