The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.

We characterized 15 polymorphic tetranucleotide microsatellite markers for the ringtail, Bassariscus astutus. We tested these loci in 21 individuals captured in Arizona and Texas and found six to 19 alleles per locus. Observed and expected heterozygosities ranged from 0.381 to 1.000 and from 0.381 to 0.941, respectively. All loci were in Hardy-Weinberg equilibrium, and none were in linkage dise...

Using an (AG)13 enriched genomic library of Mugil cephalus, 12 polymorphic microsatellite loci were isolated and characterized in a test population; the number of alleles ranged from 2 to 11. The observed and expected heterozygosities ranged from 0.2593 to 0.8966 and from 0.3047 to 0.8454, respectively. Two loci deviated from Hardy-Weinberg equilibrium; linkage disequilibrium among the 12 loci ...

We isolated and characterized 22 polymorphic microsatellite loci in Lutjanus erythropterus using a (GT)13-enriched genomic library. We found between 2 and 8 alleles per locus, with a mean of 4.85. The observed and expected heterozygosities ranged from 0.065 to 0.867 and from 0.085 to 0.832, respectively, with means of 0.461 and 0.529, respectively. Allele frequencies in three loci were found to...

population of vimba vimba persa was investigated using microsatellite markers originated from two regions along the iranian coastline of southern caspian sea (anzali lagoon and havigh river in gilan province). totally 153 alleles were identified. the highest number of alleles per ca3 loci was 17 and the lowest 3 in z8145 loci with means of 7.6. observed and expected heterozygosity averages were...

framework for John Nirenberg inequalities and applications to Hardy spaces Frédéric Bernicot CNRS Laboratoire Paul Painlevé Université Lille 1 59655 Villeneuve d’Ascq Cedex, France [email protected] Jiman Zhao ∗ School of Mathematical Sciences, Beijing Normal University Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China jzhao...

bream (abramis brama orientalis) is one of the most commercially valuable fish in the caspian sea. the aim of this study was to compare levels of genetic polymorphism between wild and farmed bream populations using seven microsatellite loci. genetic diversity was investigated by studying samples collected from two regions; chaboksar and the artificial propagation center of guilan province. alle...

There are well-known examples of dynamical systems for which the Birkhoff averages with respect to a given observable along some or all of the orbits do not converge. It has been suggested that such orbits could be classified using higher order averages. In the case of a bounded observable, we show that a classical result of G.H. Hardy implies that if the Birkhoff averages do not converge, then...