• Journal of the Korean Mathematical Society
• /
• v.40 no.6
• /
• pp.1061-1074
• /
• 2003

We first show the analyticity of Stokes operator in Besov spaces $B_{p,q}$$^{a}$ ( $R_{＋}$$^{n}$). Then, we estimate the asymptotic behavior of the Stokes solutions. We also show the Hodge decomposition.n.

• Communications of the Korean Mathematical Society
• /
• v.21 no.4
• /
• pp.719-727
• /
• 2006

In this paper, we study the boundedness and the com-pactness of weighted composition operator between $H^{\infty}$ and Bergman type space on the unit ball of $\mathbb{C}^n$. Also, the norm of corresponding weighted composition operator is computed.

• Bulletin of the Korean Mathematical Society
• /
• v.52 no.5
• /
• pp.1753-1757
• /
• 2015

In this note we obtain a unique continuation result for the differential inequality ${\mid}\bar{\partial}u{\mid}{\leq}{\mid}Vu{\mid}$, where $\bar{\partial}=(i{\partial}_y+{\partial}_x)/2$ denotes the Cauchy-Riemann operator and V (x, y) is a function in $L^2(\mathbb{R}^2)$.

• Bulletin of the Korean Mathematical Society
• /
• v.48 no.6
• /
• pp.1119-1124
• /
• 2011

In the present paper, we study the chaotic property of weighted composition operators acting on the holomorphic function space $H(\mathbb{U})$.

• Bulletin of the Korean Mathematical Society
• /
• v.45 no.2
• /
• pp.365-373
• /
• 2008

We prove a lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold depending on the scalar curvature as well as a chosen Codazzi tensor. The inequality generalizes the classical estimate from [2].

• Communications of the Korean Mathematical Society
• /
• v.20 no.1
• /
• pp.63-70
• /
• 2005

In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.

• Bulletin of the Korean Mathematical Society
• /
• v.50 no.3
• /
• pp.1021-1027
• /
• 2013

We consider right and left Fredholm operator matrices of the form $\[\array{A&C\\T&S}\]$, which are linear and bounded on the Banach space $Z=X{\oplus}Y$.

• Honam Mathematical Journal
• /
• v.39 no.2
• /
• pp.175-185
• /
• 2017

In this paper we consider Toeplitz operators on the pluriharmonic Dirichlet space of the unit ball in the n-dimensional complex space. We then characterize Fredholm Toeplitz operators and describe the essential spectrum of a Toeplitz operator as a consequence.

• East Asian mathematical journal
• /
• v.29 no.3
• /
• pp.259-268
• /
• 2013

There are a lot of unsolved problems or issues regarding Kronecker products, vec-operator and Commutation matrices. We derived further properties and results of Kronecker products, vec-operator and Commutation Matrices.

• Bulletin of the Korean Mathematical Society
• /
• v.38 no.1
• /
• pp.205-210
• /
• 2001

We give a characterization of regular operators that allows us to prove that a bounded operator acting between Banach spaces is almost regular if and only if it is regular, solving an open problem in [5]. As an application, we show that some operators in the closure of the set of all regular operators are regular.