• Title/Summary/Keyword: weighted BMO

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A Success factor for Technology Commercialization for Start-ups by the Weighted-BMO Model (BMO모형을 이용한 스타트업 기술사업화 성공요인 연구)

  • Min, Kwang-Dong;Huh, Moo-Yul;Han, Jeong-Hui
    • The Journal of Industrial Distribution & Business
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    • v.9 no.11
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    • pp.39-54
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    • 2018
  • Purpose - To success, in spite of deficient resources, a start-up company has to check various circumstances. Many researchers proposed different appraisal methods for technology commercialization. But everybody agrees Merrifield is the first one, who is a pioneer of an appraisal model of technology commercialization. After he proposed it, many researchers and field workers developed a more complicated model, which called a BMO model. In this research, considering the circumstances of start-ups that lack available resources, it proposes a new appraisal method for technology commercialization, which is named a weighted-BMO model. Research design, data, and methology - For the new BMO-model, it studied the preceding studies. And it found that the success factors for start-ups were correlated with technology commercialization. After comparing the success factors for technology commercialization of start-ups with BMO appraisal factor, it withdraws the net BMO appraisal model: which we are calling the weighted-BMO model. Results - This study found a few things. First, actually, the BMO appraisal factors related with the success factors of technology commercialization. Second, the weighted-BMO model, which included the entrepreneur ability factor, was more accurately estimated the success of technology-based start-ups than the BMO model. Third, it overcame the weakness of the BMO-model, which did not include quantitative factors. In addition to evaluating the feasibility of the BMO model, we also presented a strategy for the future direction. But, still, it included a few shortcomings, which we are calling the arbitrage of weighted value. Sometimes, the intentional weighted value can deliberate the different valuation. Conclusitons - Due to this study, the weighted-BMO model included appraisal factors related with the success factors of technology commercialization and the entrepreneur ability factor, and quantitative factors. When evaluating the combined score of the existing Merrified BMO components, 35 points of the first pass criterion accounted for 29.17% of the total score, and 80 points of the merit score of the second rank criterion were 66.67% Considering that the weighted sum is taken into account, the baseline score of the weighted summing method for each component of the modified BMO model is 2.92 points, which is 29.17% of the weighted sum total of 10 points. The evaluation score was 6.67 points, 66.67% of the weighted total score of 10 points.

ON WEIGHTED COMPACTNESS OF COMMUTATORS OF BILINEAR FRACTIONAL MAXIMAL OPERATOR

  • He, Qianjun;Zhang, Juan
    • Journal of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.495-517
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    • 2022
  • Let Mα be a bilinear fractional maximal operator and BMα be a fractional maximal operator associated with the bilinear Hilbert transform. In this paper, the compactness on weighted Lebesgue spaces are considered for commutators of bilinear fractional maximal operators; these commutators include the fractional maximal linear commutators Mjα,β and BMjα,β (j = 1, 2), the fractional maximal iterated commutator ${\mathcal{M}}_{{\alpha},{\vec{b}}}$, and $BM_{{\alpha},{\vec{b}}}$, where b ∈ BMO(ℝd) and ${\vec{b}}\;=\;(b_1,b_2)\;{\in}\;BMO({\mathbb{R}}^d)\;{\times}\;BMO({\mathbb{R}}^d)$. In particular, we improve the well-known results to a larger scale for 1/2 < q < ∞ and give positive answers to the questions in [2].

MULTIPLE WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS OF MULTILINEAR SINGULAR INTEGRALS WITH GENERALIZED KERNELS

  • Liwen Gao;Yan Lin;Shuhui Yang
    • Journal of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.207-226
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    • 2024
  • In this paper, the weighted Lp boundedness of multilinear commutators and multilinear iterated commutators generated by the multilinear singular integral operators with generalized kernels and BMO functions is established, where the weight is multiple weight. Our results are generalizations of the corresponding results for multilinear singular integral operators with standard kernels and Dini kernels under certain conditions.

COMMUTATORS OF THE MAXIMAL FUNCTIONS ON BANACH FUNCTION SPACES

  • Mujdat Agcayazi;Pu Zhang
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.5
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    • pp.1391-1408
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    • 2023
  • Let M and M# be Hardy-Littlewood maximal operator and sharp maximal operator, respectively. In this article, we present necessary and sufficient conditions for the boundedness properties for commutator operators [M, b] and [M#, b] in a general context of Banach function spaces when b belongs to BMO(?n) spaces. Some applications of the results on weighted Lebesgue spaces, variable Lebesgue spaces, Orlicz spaces and Musielak-Orlicz spaces are also given.

A BMO TYPE CHARACTERIZATION OF WEIGHTED LIPSCHITZ FUNCTIONS IN TERMS OF THE BEREZIN TRANSFORM

  • Cho, Hong-Rae;Seo, Yeoung-Tae
    • Communications of the Korean Mathematical Society
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    • v.21 no.3
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    • pp.419-428
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    • 2006
  • The Berezin transform is the analogue of the Poisson transform in the Bergman spaces. Dyakonov characterize the holomorphic weighted Lipschitz function in the unit disk in terms of the Possion integral. In this paper, we characterize the harmonic weighted Lispchitz function in terms of the Berezin transform instead of the Poisson integral.

INTRINSIC SQUARE FUNCTIONS ON FUNCTIONS SPACES INCLUDING WEIGHTED MORREY SPACES

  • Feuto, Justin
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1923-1936
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    • 2013
  • We prove that the intrinsic square functions including Lusin area integral and Littlewood-Paley $g^*_{\lambda}$-function as defined by Wilson, are bounded in a class of function spaces include weighted Morrey spaces. The corresponding commutators generated by BMO functions are also considered.

ELLIPTIC OBSTACLE PROBLEMS WITH MEASURABLE NONLINEARITIES IN NON-SMOOTH DOMAINS

  • Kim, Youchan;Ryu, Seungjin
    • Journal of the Korean Mathematical Society
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    • v.56 no.1
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    • pp.239-263
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    • 2019
  • The $Calder{\acute{o}}n$-Zygmund type estimate is proved for elliptic obstacle problems in bounded non-smooth domains. The problems are related to divergence form nonlinear elliptic equation with measurable nonlinearities. Precisely, nonlinearity $a({\xi},x_1,x^{\prime})$ is assumed to be only measurable in one spatial variable $x_1$ and has locally small BMO semi-norm in the other spatial variables x', uniformly in ${\xi}$ variable. Regarding non-smooth domains, we assume that the boundaries are locally flat in the sense of Reifenberg. We also investigate global regularity in the settings of weighted Orlicz spaces for the weak solutions to the problems considered here.