• 제목/요약/키워드: Hardy

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Fractional Integrals and Generalized Olsen Inequalities

  • Gunawan, Hendra;Eridani, Eridani
    • Kyungpook Mathematical Journal
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    • v.49 no.1
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    • pp.31-39
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    • 2009
  • Let $T_{\rho}$ be the generalized fractional integral operator associated to a function ${\rho}:(0,{\infty}){\rightarrow}(0,{\infty})$, as defined in [16]. For a function W on $\mathbb{R}^n$, we shall be interested in the boundedness of the multiplication operator $f{\mapsto}W{\cdot}T_{\rho}f$ on generalized Morrey spaces. Under some assumptions on ${\rho}$, we obtain an inequality for $W{\cdot}T_{\rho}$, which can be viewed as an extension of Olsen's and Kurata-Nishigaki-Sugano's results.

Supercyclicity of Convex Operators

  • Hedayatian, Karim;Karimi, Lotfollah
    • Kyungpook Mathematical Journal
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    • v.58 no.1
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    • pp.81-90
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    • 2018
  • A bounded linear operator T on a Hilbert space ${\mathcal{H}}$ is convex, if for each $x{\in}{\mathcal{H}}$, ${\parallel}T^2x{\parallel}^2-2{\parallel}Tx{\parallel}^2+{\parallel}x{\parallel}^2{\geq}0$. In this paper, it is shown that if T is convex and supercyclic then it is a contraction or an expansion. We then present some examples of convex supercyclic operators. Also, it is proved that no convex composition operator induced by an automorphism of the disc on a weighted Hardy space is supercyclic.

The Flocculation of Veegum Suspension by Electrolytes

  • Kwang Pyo Lee;Robert C. Mason;Ree Takiyue
    • Journal of the Korean Chemical Society
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    • v.16 no.1
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    • pp.25-32
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    • 1972
  • The effect on the apparent viscosity of 2 wt. % Veegum suspensions of different types of electrolytes and of different electrolyte concentrations was studied. Measurements were made with a Brookfield Synchro-Lectric Viscometer, using no.3 spindle at 30 R.P.M. at $24^{\circ}C$. As electriolyte concentration increased, the apparant viscosity was observed to increase to a maximum and then to decrease. Changes in viscosity were in general agreement with predicted results based on the Hofmeister sequence and the Schulze-Hardy rule. The observed electrolyte effect on the apparent viscosity was discussed in terms of the Verwey-Overbeek theory.

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A Bibliographical Analysis on Bean sprouts (콩잎에 대한 문헌적 고찰)

  • Lee, Sun Ah;Park, Sang Young;Ahn, Sang Woo
    • The Journal of Korean Medical History
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    • v.21 no.1
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    • pp.109-115
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    • 2008
  • Bean sprouts have been one of the vital food for our ancestor for a long time. They were also hardy wild plants or first-aid medicine for needy people. Even nowadays they are served at table. For examples, bean curd, bean-curd dregs, bean sprouts, soybean paste, fermented soybeans, hot pepper paste, and soy are our daily food. Moreover bean sprouts are widely favored at the age of the well-being. Bean sprouts for a recover from a hangover, soybean paste for the prevention of cancer, beans leaf as the best well-being food for a diet, and so on. Thus the paper explains the origin of bean sprouts and their application as a food or medicinal stuff with the analysis of the various and wide-spread records.

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ON THE SEVERAL DIFFERENCES BETWEEN PRIMES

  • Park, Yeonyong;Lee, Heonsoo
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.37-51
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    • 2003
  • Enumeration of the primes with difference 4 between consecutive primes, is counted up to 5${\times}$10$\^$10/, yielding the counting function ,r2,4(5${\times}$10$\^$10/) = l18905303. The sum of reciprocals of primes with gap 4 between consecutive primes is computed B$_4$(5 ${\times}$ 10$\^$10/) = 1.1970s4473029 and B$_4$ = 1.197054 ${\pm}$ 7 ${\times}$ 10$\^$-6/. And Enumeration of the primes with difference 6 between consecutive primes, is counted up to 5${\times}$10$\^$10/, yielding the counting function $\pi$$\_$2.6/(5${\times}$10$\^$10/) = 215868063. The sum of reciprocals of primes with gap 6 between consecutive primes is computed B$\_$6/(5${\times}$10$\^$10/) = 0.93087506039231 and B$\_$6/ = 1.135835 ${\pm}$ 1.2${\times}$10$\^$-6/.

Construction of DNA marker for traceability in Hanwoo

  • Kwon, Jae-Chul;Choi, Yu-Mi;Rhee, Sung-Won;Yeo, Jung-Sou;Lee, Jea-Young
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.213-219
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    • 2006
  • Considering all the factors involved in beef production individual identification using DNA marker testing is the most appropriate solution to give all the breeders' information to the consumers. After taking into account the genealogical information from the Hanwoo, only animals that did not share some parent or grandparent were analysed 33 from the 305 initially sampled. Ten major microsatellite markers were selected from allele amplified and their frequencies, H(Heterozygosity) and PIC(Polymorphism information content) with Hardy-Weinberg equilibrium. Next, in order to evaluate the power of the markers selected on the individual animal identification, the match probability(MP) and the relatedness coefficient(R) were computed.

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ON THE PRIMES WITH $P_{n+1}-P_n = 8$ AND THE SUM OF THEIR RECIPROCALS

  • Lee Heon-Soo;Park Yeon-Yong
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.441-452
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    • 2006
  • We introduce the counting function ${\pi}^*_{2.8}(x)$ of the primes with difference 8 between consecutive primes ($p_n,\;p_{n+l}=p_n+8$) can be approximated by logarithm integral $Li^*_{2.8}$. We calculate the values of ${\pi}^*_{2.8}(x)$ and the sum $C_{2,8}(x)$ of reciprocals of primes with difference 8 between consecutive primes $p_n,\;p_{n+l}=p_n+8$ where x is counted up to $7{\times}10^{10}$. From the results of these calculations. we obtain ${\pi}^*_{2.8}(7{\times}10^{10}$)= 133295081 and $C_{2.8}(7{\times}10^{10}) = 0.3374{\pm}2.6{\times}10^{-4}$.

Multilocus Genotyping to Study Population Structure in Three Buffalo Populations of India

  • Tantia, M.S.;Vijh, R.K.;Mishra, Bina;Kumar, S.T. Bharani;Arora, Reena
    • Asian-Australasian Journal of Animal Sciences
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    • v.19 no.8
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    • pp.1071-1078
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    • 2006
  • Three buffalo populations viz. Bhadawari, Tarai and local buffaloes of Kerala were genotyped using 24 heterologous polymorphic microsatellite loci. A total of 140 alleles were observed with an average observed heterozygosity of 0.63. All the loci were neutral and 18 out of the 24 loci were in Hardy Weinberg Equilibrium. The $F_{IS}$ values (estimate of inbreeding) for 16 loci in all the three populations were negative. This indicated lack of population structure in the three populations. The effective number of immigrants was 5.88 per generation between the Tarai and Bhadawari populations which was quite high suggesting substantial gene flow. The genetic distances revealed closeness between the Tarai and Bhadawari populations which was expected from geographical contiguity. The FST values were not significantly different from zero showing no population differentiation. The Correspondence Analysis based on the allelic frequency data clustered the majority of the Tarai and Bhadawari individuals as an admixture.

A preliminary study of genetic structure and relatedness analysis of Nutria (Myocastor coypus) in Upo Wetland

  • Jung, Jongwoo;Jo, Yeong-Seok
    • Journal of Species Research
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    • v.1 no.1
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    • pp.100-103
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    • 2012
  • Nutria Myocastor coypus is one of a well known invasive riparian mammal found species around world from North America to Eurasia and Africa. In South Korea, feral nutrias inhabit areas from the Nakdonggang and Namgang (River) to their tributaries and Upo Wetland where they have had devastating effects on environment. Nevertheless, there has been little research about nutrias in Korea. This study is to analyze the genetic structure of the nutria population in the Upo Wetland and identify the origin of the source populations. Twenty individuals from the Upo Wetland were genotyped using 25 microsatellite loci. When compared with another introduced population, that of the Blackwater Nation Wildlife Refuge in U.S., the Upo population contains considerable genetic variations. Tests for Hardy-Weinberg equilibrium and Bayesian clustering analysis suggest the Upo population is genetically structured and has at least two source populations. This preliminary study presents the need for further in-depth studies about this species which should combine genetic and ecological studies.

Merging Two Regional Geoid Estimates by Using Optimal Variance Components of Type repro-BIQUUE: An Algorithmic Approach

  • SCHAFFRIN Burkhard;MAUTZ Rainer
    • Korean Journal of Geomatics
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    • v.5 no.1
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    • pp.1-6
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    • 2005
  • When merging various datasets the perennial problem of relative weighting arises. In case of two datasets an iterative algorithm has been developed recently that allows the rigorous determination of optimal variance components of type repro-BIQUUE even for large amounts of data, along with the estimation of the joint parameters. Here we shall present this new algorithm, and show its versatility in an example that will entail the merging of two regional geoid estimates (derived from EGM 96 and CHAMP) in terms of certain series expansions which have been proven previously to belong to the most efficient ones (e.g., wavelets, Hardy's multi-quadrics, etc.). Future attempts will be devoted to the sequential merging of altimeter and tide gauge data.

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