• 충청수학회지
• /
• 제25권3호
• /
• pp.491-499
• /
• 2012

The hyperbolic metric is invariant under the action of M$\ddot{o}$bius maps and unbounded. For 0 < $r$ < 1, there is an r-lattice in the Bergman metric. Using this r-lattice, we get the measure ${\mu}_r$ and the Toeplitz operator $T^{\alpha}_{\mu}_r$ and we prove that $T^{\alpha}_{\mu}_r$ is bounded and $T^{\alpha}_{\mu}_r$ is compact under some condition.

• East Asian mathematical journal
• /
• 제33권1호
• /
• pp.37-44
• /
• 2017

We will prove size estimates of the Bergman kernel for the generalized Fock space ${\mathcal{F}}^2_{\varphi}$, where ${\varphi}$ belongs to the class $\mathcal{W} $. The main tool for the proof is to use the estimate on the canonical solution to the ${\bar{\partial}}$-equation. We use Delin's weighted $L^2$-estimate ([3], [6]) for it.

• 대한수학회지
• /
• 제51권6호
• /
• pp.1209-1220
• /
• 2014

We prove global gradient estimates in weighted Orlicz spaces for weak solutions of nonlinear elliptic equations in divergence form over a bounded non-smooth domain as a generalization of Calder$\acute{o}$n-Zygmund theory. For each point and each small scale, the main assumptions are that nonlinearity is assumed to have a uniformly small mean oscillation and that the boundary of the domain is sufficiently flat.

• 대한수학회보
• /
• 제58권2호
• /
• pp.403-417
• /
• 2021

This note is devoted to establishing the boundedness for some classes of Littlewood-Paley square operators defined by the kernels without any regularity on the mixed radial-angular spaces. The corresponding vector-valued versions are also presented. As applications, the corresponding results for the Littlewood-Paley g∗λ function and the Littlewood-Paley function related to the area integrals are also obtained.

• 대한수학회지
• /
• 제60권1호
• /
• pp.227-253
• /
• 2023

In this article, we generalize the results discussed in [6] by introducing a genus to generic fibers of Lefschetz fibrations. That is, we give families of relations in the mapping class groups of genus-1 surfaces with boundaries that represent rational homology disk smoothings of weighted homogeneous surface singularities whose resolution graphs are 3-legged with a bad central vertex.

• 충청수학회지
• /
• 제23권3호
• /
• pp.471-479
• /
• 2010

For a complex regular Borel measure ${\mu}$ on ${\Omega}$ which is a subset of ${\mathbb{C}}^k$, where k is a positive integer we define the Toeplitz operator $T_{\mu}$ on a reproducing analytic space which comtains polynomials. Using every symmetric polynomial is a polynomial of elementary polynomials, we show that if $T_{\mu}$ has finite rank then ${\mu}$ is a finite linear combination of point masses.

• 대한수학회보
• /
• 제60권2호
• /
• pp.293-305
• /
• 2023

Let {T_t}_t∈∆ be the translation semigroup with a sector ∆ ⊂ ℂ as index set. The recurrent hypercyclicity criterion (RHCC) for the C₀-semigroup {T_t}_t∈∆ is established, and then the equivalent conditions ensuring {T_t}_t∈∆ satisfying the RHCC on weighted spaces of p-integrable and of continuous functions are presented. Especially, every chaotic semigroup {T_t}_t∈∆ satisfies the RHCC.

• 치과방사선
• /
• 제27권1호
• /
• pp.231-241
• /
• 1997

The aneurysmal bone cyst is a nonmalignant reactive bone lesion. Developing rarely in the craniofacial region, and more commonly affecting the long bones and the spine, the lesion has variable etiopathogenic characteristics. The authors diagnosed a 33-year-old female as aneurysmal bone cyst after undergoing clinical, radiological and histological examinations. The characteristics were as followed: 1. The patient complained of pain and swelling of the right preauricular area. 2. The conventional radiograms showed a relatively well defined radiolucent lesion with partially scalloping margin. The cortical bone of the right condyle was thinned and expanded by the lesion. 3. Bone scintigraphy with ~c demonstrated ring-like or doughnut-pattern accumulation of radioactivity. 4. On Tl-weighted imaging of MRI, the lesion on the right condyle had middle signal intensity. T2-weighted MRI demonstrated multiple high signal intensities seperated by septa which had low signal intensity. Finger in balloon appearance was seen. 5. Histologically, the lesion was composed of large sinusoidal blood spaces lined by fibroblasts and histiocytes. Its fibrous stroma consisted of fibroblstic element, multinucleated giant cells, extravasated erythrocytes and focal hemosiderin pigmentation. New bone formation was also observed around larger sinusoidal spaces.

• Investigative Magnetic Resonance Imaging
• /
• 제24권2호
• /
• pp.85-89
• /
• 2020

Amyloidosis is an all-inclusive disease of deposition of amyloid proteins in the extracellular spaces, which in localized or systemic form cause tissue damage and dysfunction. Herein, we report a case of small bowel involvement of systemic amyloidosis presenting with multiple polypoid wall thickening mimicking small bowel polyposis syndrome in an age 75 male. Interestingly, polypoid wall thickening and amyloidoma showed hypointensity on T2-weighted images. To our knowledge, there has been no literature describing MRI findings of poylpoid wall thickening and amyloidoma. Although the underlying mechanisms are unclear and need validation, hypointensity on T2-weighted images could be valuable in diagnosing small bowel involvement of amyloidosis in patients presenting with poylpoid wall thickening and amyloidoma.

• 한국조경학회지
• /
• 제47권6호
• /
• pp.103-114
• /
• 2019

최근 미세먼지 저감 도시숲을 조성하기 위한 사업이 활발하게 추진되고 있으나, 적합한 가용공간을 선정하는데 필요한 객관적 평가 기준을 마련하지 못하고 있는 실정이다. 이에 본 연구의 목적은 미세먼지 저감 도시숲을 조성하기 위한 가용공간의 평가항목을 개발하고, AHP 기법을 이용하여 평가항목의 상대적 중요도(가중치)를 분석하는 것이다. 이를 위해 문헌고찰 및 전문가 검토를 통해 5개 범주의 총 19개 평가항목을 도출하였다. 전문가 설문조사를 통해 총 29부를 회수하였으며, AHP 분석을 수행하였다. 분석결과, 상위항목의 중요도는 '입지적 특성'(0.355)이 가장 높게 나타났으며, '기존 녹지의 식재유형(0.184)', '기상조건 (0.183)', '물리적 특성(0.15)', '인문사회환경(0.128)' 순으로 중요도가 나타났다. 또한 하위항목의 전체 중요도는 '미세먼지 발생원 인접성'(0.143)이 가장 높은 것으로 나타났으나, '기존 녹지의 식재수종'(0.024)은 가장 낮은 것으로 나타났다. 본 연구는 미세먼지 저감 도시숲을 조성하기 위한 가용공간을 선정하는데 객관적 기준과 방향을 제시할 수 있을 것이다.