• Journal of the Korean Mathematical Society
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• v.49 no.5
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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.

• Bulletin of the Korean Mathematical Society
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• v.57 no.4
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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.

• Communications of the Korean Mathematical Society
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• v.21 no.1
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• pp.53-64
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• 2006

In this paper, we are concerned with the algebraic representation of the quasi-nilpotent part for prehermitian operators on Banach spaces. The quasi-nilpotent part of an operator plays a significant role in the spectral theory and Fredholm theory of operators on Banach spaces. Properties of the quasi-nilpotent part are investigated and an application is given to totally paranormal and prehermitian operators.

• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.179-188
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• 1999

In this paper we find some classes of operators for which Weyl`s theorem holds. The main result is as follows. If T$\in$L(\ulcorner) satisfies the following: (ⅰ) Either T or T\ulcorner is reduced by each of its eigenspaces; (ⅱ) Weyl`s theorem holds for T; (ⅲ) T is isoloid, then for every polynomial p, Weyl`s theorem holds for p(T).

• Bulletin of the Korean Mathematical Society
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• v.57 no.2
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• pp.383-391
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• 2020

We study the mapping property of multilinear fractional maximal operators in Lipschitz spaces. It should be pointed out that some of the techniques employed in the study of fractional integral operators do not apply to fractional maximal operators.

• Honam Mathematical Journal
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• v.30 no.1
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• pp.127-135
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• 2008

In this paper we consider the hyponormality of Toeplitz operators $T_{\varphi}$ on the Bergman space $L^2_a(\mathbb{D})$ with symbol in the case of function f + $\overline{g}$ with polynomials f and g. We present some necessary conditions for the hyponormality of $T_{\varphi}$, under certain assumptions about the coefficients of ${\varphi}$.

• 제어로봇시스템학회:학술대회논문집
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• 2001.10a
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• pp.168.2-168
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• 2001

Generally, operators suffer much difficulty in manipulating micro-nano-sized objects without assisting of human interface, due to the scaling effects in micro/nano world. Thus, the micromanipulation system based on the teleoperation techniques enables operators to manipulate the micro objects easily by transferring both human motion and manipulation skills to the micromanipulator. In teleoperated microassembly, it is necessary to provide a useful user interface for facilitating micro assembly task executed by human operators. In this paper, Intelligent User Interface (UI) for teleoperated microassembly is proposed. The proposed intelligent UI improves task performance by teleoperated micromanipulation as well as guides operators to succeed in desirable ...

• 제어로봇시스템학회:학술대회논문집
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• 2001.10a
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• pp.117.3-117
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• 2001

This paper deals with a method for creating animation by interaction with animation operators. Operators are able to edit/transform any given motion data to more natural animations by the motion editing method proposed in this paper. The proposed technique is especially useful when some paris of character structure are changed. The system to be proposed is designed to fully utilize the experience of animation operators as well as to accomodate semi-automation process with spline interpolation. An example for retargeting a given motion data to a new character of dramatically changed kinematic structure.

• Honam Mathematical Journal
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• v.40 no.1
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• pp.155-162
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• 2018

In this paper, we are concerned with hyponormal Toeplitz operators on the Hardy space of the unit circle. Our main result of this paper is to provide a simple and transparent proof on the hyponormality of Toeplitz operators with symmetric-type symbols via Schur complement lemma.

• Communications of the Korean Mathematical Society
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• v.19 no.2
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• pp.219-232
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• 2004

We study relationships between closure operators and BL-algebras. We investigate the properties of closure operators and BL-homomorphisms on BL-algebras. We show that the image of a closure operator on a BL-algebra is isomorphic to a quotient BL-algebra.