Hyun-Kyoung Kwon

activity

20072023

26 citations · 53 across the 14 of their papers we have counts for

collaborators

15 papers

math.AP2023★ 1 cited

Interior and boundary mixed norm derivative estimates for nonstationary Stokes equations

Hongjie Dong, Hyunwoo Kwon

We obtain weighted mixed norm Sobolev estimates in the whole space for nonstationary Stokes equations in divergence and nondivergence form with variable viscosity coefficients that…

math.AP2023

Global existence and uniqueness of weak solutions of a Stokes-Magneto system with fractional diffusions

Hyunseok Kim, Hyunwoo Kwon

We consider a Stokes-Magneto system in $R^{d}$ ( $d \geq 2$ ) with fractional diffusions $Λ^{2 α} u$ and $Λ^{2 β} b$ for the velocity $u$ and…

math.FA2022

The Cowen-Douglas Theory for Operator Tuples and Similarity

Kui Ji, Shanshan Ji, Hyun-Kyoung Kwon +1

We are concerned with the similarity problem for Cowen-Douglas operator tuples. The unitary equivalence counterpart was already investigated in the 1970's and geometric concepts in…

math.AP2021

Elliptic equations in divergence form with drifts in $L^{2}$

Hyunwoo Kwon

We consider the Dirichlet problem for second-order linear elliptic equations in divergence form \begin{equation*} -\mathrm{div }(A\nabla u)+\mathbf{b} \cdot \nabla u+λu=f+\mathrm{d…

math.AP2020

Existence and uniqueness of weak solution in $W^{1, 2 + ε}$ for elliptic equation with drifts in weak- $L^{n}$ spaces

Hyunwoo Kwon

We consider the following Dirichlet problems for elliptic equations with singular drift $b$ : \[ \text{(a) } -\operatorname{div}(A \nabla u)+\operatorname{div}(u\mathbf{b})…

math.FA2019★ 2 cited

A subclass of the Cowen-Douglas class and similarity

Kui Ji, Hyun-Kyoung Kwon, Jaydeb Sarkar +1

We consider a subclass of the Cowen-Douglas class in which the problem of deciding whether two operators are similar becomes more manageable. A similarity criterion for Cowen-Dougl…

math.FA2019

$N$ -hypercontractivity and similarity of Cowen-Douglas operators

Kui Ji, Hyun-Kyoung Kwon, Jing Xu

When the backward shift operator on a weighted space $H_{w}^{2} = {f = \sum_{j = 0}^{\infty} a_{j} z^{j} : \sum_{j = 0}^{\infty} ∣ a_{j} ∣^{2} w_{j} < \infty}$ is an $n$ -hypercontraction, we prove that t…

math.AP2018

Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains

Hyunseok Kim, Hyunwoo Kwon

We consider the Dirichlet and Neumann problems for second-order linear elliptic equations: \[ -\triangle u +\mathrm{div}(u\mathbf{b}) =f \quad\text{ and }\quad -\triangle v -\mathb…

math.CA2015★ 24 cited

Matrix weighted norm inequalities for commutators and paraproducts with matrix symbols

Joshua Isralowitz, Hyun-Kyoung Kwon, Sandra Pott

Let $B$ be a locally integrable matrix function, $W$ a matrix A $_{p}$ weight with $1 < p < \infty$ , and $T$ be any of the Riesz transforms. We will characterize the boundedness of…

math.FA2013

Similarity of Cowen-Douglas operators to the backward Dirichlet shift

Hyun-Kyoung Kwon

We show that the same similarity characterization obtained for Cowen-Douglas operators to the backward shift operators on reproducing kernel Hilbert spaces with analytic kernels ca…

math.FA2012

Curvature invariant and generalized canonical operator models - II

Ronald G. Douglas, Yun-Su Kim, Hyun-Kyoung Kwon +1

In [11] the authors investigated a family of quotient Hilbert modules in the Cowen-Douglas class over the unit disk constructed from classical Hilbert modules such as the Hardy and…

math.FA2012★ 26 cited

Similarity of Operators in the Bergman Space Setting

Ronald G. Douglas, Hyun-Kyoung Kwon, Sergei Treil

We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a g…

math.FA2010

Curvature invariant and generalized canonical Operator models - I

Ronald G. Douglas, Yun-Su Kim, Hyun-Kyoung Kwon +1

One can view contraction operators given by a canonical model of Sz.-Nagy and Foias as being defined by a quotient module where the basic building blocks are Hardy spaces. In this…

math.CA2009

Curvature Condition for Noncontractions does not imply Similarity to the Backward Shift

Hyun-Kyoung Kwon, Sergei Treil

We give an example of an operator that satisfies the curvature condition as defined in [2], but is not similar to the backward shift S* on the Hardy class H^2. We conclude therefor…

math.FA2007

Similarity of operators and geometry of eigenvector bundles