• 대한수학회논문집
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• 제19권3호
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• pp.435-452
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• 2004

In this paper, we prove the weighted continuity of multilinear Marcinkiewicz operators for the extreme cases of p.

• 대한수학회지
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• 제49권5호
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• pp.907-925
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• 2012

In this paper the boundedness for a large class of multi-sublinear operators is established on product generalized Morrey spaces with non-doubling measures. As special cases, the corresponding results for multilinear Calder$\acute{o}$n-Zygmund operators, multilinear fractional integrals and multi-sublinear maximal operators will be obtained.

• 대한수학회보
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• 제57권4호
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• pp.851-864
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• 2020

This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol σ belonging to the Hörmander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the C_p estimates for the corresponding multilinear pseudo-differential operators are also obtained.

• 대한수학회논문집
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• 제35권2호
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• pp.565-570
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• 2020

We investigate the best equivalence constants for the 𝑙_p-norms and the 𝑙_q-symmetric multilinear operator norms of vectors in ℂⁿ which are induced by symmetric n-linear forms. In this paper, we provides estimates which are either best possible or close to best possible.

• 대한수학회지
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• 제60권1호
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• pp.195-212
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• 2023

In this paper, two weight conditions are introduced and the multiple weighted strong and weak characterizations of the multilinear fractional new maximal operator 𝓜_ϕ,β are established. Meanwhile, we introduce the ${\mathcal{S}}_{({\vec{p}},q),{\beta}}({\varphi})$ and $B_{({\vec{p}},q),{\beta}}({\varphi})$ conditions and obtain the characterization of two-weighted inequalities for 𝓜_ϕ,β. Finally, the relationships of the conditions ${\mathcal{S}}_{({\vec{p}},q),{\beta}}({\varphi}),\,{\mathcal{A}}_{({\vec{p}},q),{\beta}}({\varphi})$ and $B_{({\vec{p}},q),{\beta}}({\varphi})$ and the characterization of the one-weight $A_{({\vec{p}},q),{\beta}}({\varphi})$ are given.

• 대한수학회보
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• 제60권2호
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• pp.541-560
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• 2023

Let T be an m-linear Calderón-Zygmund operator. $T_{{\vec{b}S}}$ is the generalized commutator of T with a class of measurable functions {b_i}^∞_i=1. In this paper, we will give some new estimates for $T_{{\vec{b}S}}$ when {b_i}^∞_i=1 belongs to Orlicz-type space and Lipschitz space, respectively.

• 대한수학회지
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• 제55권3호
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• pp.671-694
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• 2018

In this paper, we investigate the weighted vector-valued bounds for a class of multilinear singular integral operators, and its commutators, from $L^{p_1}(l^{q_1};\;{\mathbb{R}}^n,\;w_1){\times}{\cdots}{\times}L^{p_m}(l^{q_m};\;{\mathbb{R}}^n,\;w_m)$ to $L^p(l^q;\;{\mathbb{R}}^n,\;{\nu}_{\vec{w}})$, with $p_1,{\cdots},p_m$, $q_1,{\cdots},q_m{\in}(1,\;{\infty})$, $1/p=1/p_1+{\cdots}+1/p_m$, $1/q=1/q_1+{\cdots}+1/q_m$ and ${\vec{w}}=(w_1,{\cdots},w_m)$ a multiple $A_{\vec{P}}$ weights. Our argument also leads to the weighted weak type endpoint estimates for the commutators. As applications, we obtain some new weighted estimates for the $Calder{\acute{o}}n$ commutator.

• Coupled systems mechanics
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• 제12권5호
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• pp.409-418
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• 2023

A coupled algorithm is proposed which first considers the creation of porous structure of the material and then the simulations of response of mechanical components with porous structure to a variable load history. The simulations are carried out by the Prandtl operator approach in the finite element method (FEM) which enables structural simulations of mechanical components subjected to variable thermomechanical loads. Temperature-dependent material properties and multilinear kinematic hardening of the material can be taken into account by this approach. Several simulations are then performed for a tensile-compressive specimen made of a generic porous structure and mechanical properties of Aluminium alloy AlSi9Cu3. Variable mechanical load history has been applied to the specimens under constant temperature conditions. Comparison of the simulation results shows a considerable elastoplastic stress-strain response in the vicinity of pores whilst the surface of the gauge-length of the specimen remains in the elastic region of the material. Moreover, the distribution of the pore sizes seems more influential to the stress-strain field during the loading than their radial position in the gauge-length.

• 한국ITS학회 논문지
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• 제23권2호
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• pp.132-141
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• 2024

본 연구에서는 수요응답 교통서비스를 이용한 통행목적을 통근·통학과 쇼핑·여가로 구분하고 통행목적별 만족도와 영향변수의 차이를 비교한다. 세종특별자치시 '셔클(Shucle)' 이용자를 대상으로 실시한 만족도 설문조사 자료를 활용하고, 다중선형모델의 과적합(overfitting) 문제점을 최소화하기 위해 LASSO 회귀분석을 적용한다. 분석 결과, 수요응답 교통서비스 도입으로 기존 대중교통 사각지역의 공백이 해소되고, 자가용 이용 감소로 저탄소 및 대중교통 활성화 정책을 유인할 수 있으며, 간헐적인 통행행태를 갖는 행위자(예컨대 고령자, 주부 등)에게 최적의 이동 서비스를 제공할 수 있는 가능성이 확인되었다. 또한, 차량 호출 후 대기시간, 탑승 후 이동시간, 앱이용 편리성, 예상 출/도착 시간의 정시성, 승·하차 지점의 위치 요인은 통근·통학과 쇼핑·여가 통행 시 수요응답 교통서비스 만족도에 긍정적인 영향을 미치는 공통요인으로 나타났다. 한편, 타 교통수단과의 환승은 통근·통학의 경우에만 만족도에 영향을 미치고 쇼핑·여가의 경우는 미치지 않는 것으로 나타났다. 수요응답 교통서비스를 활성화하기 위해서는 분석된 5개의 영향요인에 대한 고려뿐만 아니라 통근·통학과 쇼핑·여가의 차별화 요인 즉, 통근·통학의 경우 행위자는 시간가치를 중요하게 여기므로 총 통행시간을 줄이기 위한 타교통수단과의 환승 편의를 도모하고, 쇼핑·여가 통행의 경우 이용자가 승·하차 지점의 위치를 쉽고 편하게 지정하여 이용할 수 있는 이용편의 조성방안의 고려가 필요할 것으로 사료된다.