SPACES, AND NORMS OF WEIGHTED COMPOSITION OPERATORS MICHAEL T. JURY Abstract. We prove that the norm of a weighted composition operator on the Hardy space H2 of the disk is controlled by the norm of the weight function in the de Branges-Rovnyak space associated to the symbol of the composition operator. As a corollary we obtain a new proof of the boundedness of composition operators on H2, and ...

homotopy theory C.1. Lifting properties, weak factorization systems, and Leibniz closure C.1.1. Lemma. Any class of maps characterized by a right lifting property is closed under composition, product, pullback, retract, and limits of towers; see Lemma C.1.1. Proof. For now see [17, 11.1.4] and dualize. On account of the dual of Lemma C.1.1, any set of maps in a cocomplete category “cellularly g...

The field of Machine Learning (ML) and Data Mining (DM) is focused around the following problem: Given a data domainD we want to approximate an unknown function y(x) on the given data setX ⊂ D (for which the values of y(x) may or may not be known) by a function f from a given class F so that the approximation generalizes in the best possible way on all of the (unseen) data x ∈ D. The approximat...

background : to determine the frequency of the single nucleotide polymorphism m287t in exon 9 of the as3mt gene in iranian population and to assess the difference in allele frequencies with other ethnicities. subjects and methods : genotyping analysis was performed on 150 healthy subjects using the pcr-rflp assay. we used chi-square analysis to check the deviation from hardy–weinberg equilibriu...

sheeppox virus (spv) and goatpox virus (gpv) belong to the capripoxvirus genus of poxviridae family. sheeppox and goatpox along with contagious ecthyma (ce) are endemic diseases in iran. capripox laboratory conformation based on virological and serological techniques are time consuming, laborious and most of them of low specificity, because of close antigenic relationship between capripoxvirus ...

obesity is currently considered as a serious global health problem which is influenced by environmental and genetic factors. association of genetic variants with obesity is widely scrutinized in recent years. the aim of this study was to evaluate present data on genetics of obesity in iranian population in a systematic review study. to obtain all related studies, google scholar, pubmed, and per...

background: ovarian tissue cryopreservation is an alternative strategy to preserve the fertility of women predicted to undergo premature ovarian failure. this study was designed to evaluate the expression of folliculogenesis-related genes, including factor in the germline alpha (figla), growth differentiation factor-9 (gdf-9), follicle-stimulating hormone receptor (fshr), and kit ligand after v...

endo-derived nitric oxide (no) is synthesized from l-arginine by endothelium nitric oxide synthase (enos). since reduced no synthesis has been implicated in the development of coronary atherosclerosis; we hypothesized that polymorphisms of nos gene might be associated with increased susceptibility to this disorder and coronary artery disease (cad). we studied the 27 base pair tandem repeat poly...

introduction: association between single-nucleotide polymorphisms (snps) in mu opioid receptor gene and drug addiction has been shown in various studies. here, we have evaluated the existence of polymorphisms in exon 3 of this gene in iranian population and investigated the possible association between these mutations and opioid addiction.  methods: 79 opioid-dependent subjects (55 males, 24 fe...