• 대한수학회지
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• 제43권4호
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• pp.899-909
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• 2006

Let T be a bounded linear operator on a complex infinite dimensional Hilbert space $\scr{H}$. We say that T is a quasi-class A operator if $T^*\|T^2\|T{\geq}T^*\|T\|^2T$. In this paper we prove that if T is a quasi-class A operator and f is a function analytic on a neigh-borhood or the spectrum or T, then f(T) satisfies Weyl's theorem and f($T^*$) satisfies a-Weyl's theorem.

• 대한수학회지
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• 제53권1호
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• pp.233-246
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• 2016

In this paper, we introduce the class of analytic extensions of M-hyponormal operators and we study various properties of this class. We also use a special Sobolev space to show that every analytic extension of an M-hyponormal operator T is subscalar of order 2k + 2. Finally we obtain that an analytic extension of an M-hyponormal operator satisfies Weyl's theorem.

• 대한수학회지
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• 제45권2호
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• pp.313-329
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• 2008

In this paper, we study duality in the absolute Schur algebras that were first introduced in [1] and extended in [5]. This is done in a way analogous to the classical Schatten's Theorem on the Banach space $B(l_2)$ of bounded linear operators on $l_2$ involving the duality relation among the class of compact operators K, the trace class $C_1$ and $B(l_2)$. We also study the reflexivity in such the algebras.

• Korean Journal of Mathematics
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• 제25권1호
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• pp.99-116
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• 2017

The aim of this article is to introduce a new form of Kantorovich $Sz{\acute{a}}sz$-type operators involving Charlier polynomials. In this manuscript, we discuss the rate of convergence, better error estimates. Further, we investigate order of approximation in the sense of local approximation results with the help of Ditzian-Totik modulus of smoothness, second order modulus of continuity, Peetre's K-functional and Lipschitz class.

• 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.

• 대한수학회논문집
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• 제31권3호
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• pp.549-565
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• 2016

A Hilbert space operator $T{\in}{\mathfrak{B}}(\mathfrak{H})$ is said to be n-*-paranormal, $T{\in}C(n)$ for short, if ${\parallel}T^*x{\parallel}^n{\leq}{\parallel}T^nx{\parallel}\;{\parallel}x{\parallel}^{n-1}$ for all $x{\in}{\mathfrak{H}}$. We proved some properties of class C(n) and we proved an asymmetric Putnam-Fuglede theorem for n-*-paranormal. Also, we study some invariants of Weyl type theorems. Moreover, we will prove that a class n-* paranormal operator is finite and it remains invariant under compact perturbation and some orthogonality results will be given.

• 대한수학회지
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• 제44권6호
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• pp.1255-1266
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• 2007

We establish a weighted norm inequality for a class of rough parametric Marcinkiewicz integral operators $\mathcal{M}^{\rho}_{\Omega}$. As an application of this inequality, we obtain weighted $L^p$ inequalities for a class of parametric Marcinkiewicz integral operators $\mathcal{M}^{*,\rho}_{\Omega,\lambda}\;and\;\mathcal{M}^{\rho}_{\Omega,S}$ related to the Littlewood-Paley $g^*_{\lambda}-function$ and the area integral S, respectively.

• Kyungpook Mathematical Journal
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• 제45권4호
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• pp.471-480
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• 2005

This paper deals with some useful methods of solving the one-dimensional integral equation of Fredholm type. Application of the reduction techniques with a view to inverting a class of integral equation with Lauricella function in the kernel, Riemann-Liouville fractional integral operators as well as Weyl operators have been made to reduce to this class to generalized Stieltjes transform and inversion of which yields solution of the integral equation. Use of Mellin transform technique has also been made to solve the Fredholm integral equation pertaining to certain polynomials and H-functions.

• 한국통신학회논문지
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• 제33권1A호
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• pp.59-66
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• 2008

지금까지 연구된 대부분의 동적 스펙트럼 할당(DSA) 방식들은 서로 다른 네트워크을 운영하는 다중 네트워크 운영자(network operators: NOs)들 간의 시간적으로 또는 공간적으로 변화하는 트래픽 요구 변화량에 따라서 기대할 수 있는 동적 스펙트럼 할당방식의 이득에 대한 것이었다. 본 논문에서는 스펙트럼 공유(sharing)와 할당과 연계된 기능적 엔티티(entities)에 대해서 소개하고, 다중 네트워크 운영자들 간의 장기간(long-term)의 우선순위(priority), 다중 서비스 클래스간의 우선순위 및 긴급 대역폭 요구(bandwidth request) 등을 고려한 스펙트럼 할당 알고리즘을 제안한다. 제안한 우선순위 기반의 DSA 알고리즘은 네트워크 운영자간의 각기 다른 다중 서비스 클래스의 트래픽 패턴에 대해서 기존의 고정 스펙트럼 할당방식에 비해 우수한 사용자들의 만족율(satisfaction ratio: SR)을 제공함을 보였다. 따라서 제안한 알고리즘은 다중 네트워크 운영자간의 서비스 클래스에 대한 공평성(fairness)을 제공함과 동시에 사용자들의 대역폭 요구(bandwidth request)에 대해서 효율적인 타협(negotiation) 과정을 제공할 수 있다.

• Korean Journal of Mathematics
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• 제21권1호
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• pp.35-39
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• 2013

Let $(class{\mathcal{A}})^*$ denotes the class of operators satisfying ${\mid}T^2{\mid}{\geq}{\mid}T^*{\mid}^2$. In this paper, we show that the spectrum is continuous on $(class{\mathcal{A}})^*$.