• 한국수학교육학회지시리즈A:수학교육
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• 제22권3호
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• pp.25-26
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• 1984

This note treats the inclusive relation of L$_{p}$($\mu$) for 0$_{p}$($\mu$).X>).

• 대한수학회지
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• 제31권3호
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• pp.467-475
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• 1994

In 1983 Harmand and Lima [5] proved that if X is a Banach space for which K(X), the space of compact linear operators on X, is an M-ideal in L(X), the space of bounded linear operators on X, then it has the metric compact approximation property. A strong converse of the above result holds if X is a closed subspace of either $\elll_p(1 < p < \infty) or c_0 [2,15]$. In 1979 J. Johnson [7] actually proved that if X is a Banach space with the metric compact approximation property, then the annihilator K(X)^\bot$ of K(X) in $L(X)^*$ is the kernel of a norm-one projection in $L(X)^*$, which is the case if K(X) is an M-ideal in L(X).

• 대한수학회지
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• 제43권2호
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• pp.399-411
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• 2006

Let L be a subspace lattice on a Hilbert space H and X and Y be operators acting on a Hilbert space H. Let P be the projection onto $\frac\;{R(X)}$, where RX is the range of X. If PE = EP for each $E\;\in\;L$, then there exists an operator A in AlgL such that AX = Y if and only if $$sup\{{\parallel}E^{\bot}Yf{\parallel}/{\parallel}E^{\bot}Xf{\parallel}\;:\;f{\in}H,\; E{\in}L}=K\;<\;\infty$$ Moreover, if the necessary condition holds, then we may choose an operator A such that AX = Y and ${\parallel}A{\parallel} = K.$ Let x and y be vectors in H and let $P_x$ be the projection onto the singlely generated space by x. If $P_xE = EP_x$ for each $E\inL$, then the assertion that there exists an operator A in AlgL such that Ax = y is equivalent to the condition $$K_0\;:\;=\;sup\{{\parallel}E^{\bot}y{\parallel}/{\parallel}E^{\bot}x\;:\;E{\in}L}=<\;\infty$$ Moreover, we may choose an operator A such that ${\parallel}A{\parallel} = K_0$ whose norm is $K_0$ under this case.

• East Asian mathematical journal
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• 제21권1호
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• pp.41-48
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• 2005

In this paper we first introduce a space of homogeneous type X, and then consider a kind of generalized upper half-space $X{\times}(0,\;\infty)$. We are mainly considered with inequalities for the $L^p$ norms of area functions associated with approach regions in $X{\times}(0,\;\infty)$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제20권1호
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• pp.11-23
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• 2013

In this paper, we obtain a common fixed point theorem for multivalued mappings in a complete Menger $\mathcal{L}$-fuzzy metric space. $\mathcal{L}$-fuzzy metric space is a generalization of fuzzy metric spaces and intuitionistic fuzzy metric spaces. We extend and generalize the results of Kubiaczyk and Sharma [24], Sharma, Kutukcu and Rathore [34].

• 대한수학회지
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• 제31권4호
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• pp.703-707
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• 1994

Since John and Nirenberg introduced the BMO in early 1960 [JN], it has been one of the most significant function spaces. The significance of BMO lies in the fact that BMO is a limiting space of $L^p (p \longrightarrow \infty)$, or a proper substitute of $L^\infty$. A dual statement of this would be that the Hardy space $H^1$ is a proper substitute of $L^1$.

• The Korean Journal of Pain
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• 제19권2호
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• pp.168-174
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• 2006

Background: Several biochemical mediators, such as substance P, calcitonin gene-related peptide (CGRP) and prostaglandin $E_2$, have been demonstrated to be involved in herniated or degenerated disc-induced radiculopathy. The authors tested the hypothesis that these mediators would existed in the epidural space of humans. Methods: Thirty nine patients were divided into two groups; 27 patients, who were diagnosed with spinal stenosis (stenosis group), and 12 scheduled for epidural anesthesia, without a history of back pain (control group). Under fluoroscopic guidance, an epidural catheter was introduced through the caudal space and placed into the anterior and posterior spaces, up to and around the epidural adhesive area, in the stenosis group. In the control group, the catheter was placed into the posterior epidural space through the L3⁣-4 or L4⁣-5 intervertebral space. Epidural irrigation was performed with 10 ml of saline, via an epidural catheter. Aspirated lavage fluid was collected, and the concentrations of biochemical mediators (substance P, CGRP and prostaglandin $E_2$) measured using an enzyme immunoassay kit. Results: Substance P, CGRP and prostaglandin $E_2$ were detected in all the epidural lavage fluids from both groups. The concentrations of substance P and prostaglandin $E_2$ in the stenosis group were higher than those of the control (P < 0.05). However, there was no difference in the CGRP levels between the two groups. In the stenosis group, the concentrations of these three mediators in the anterior epidural space were no different to those in the posterior space. Conclusions: These results suggest that biochemical mediators, such as substance P and prostaglandin $E_2$, in the epidural space might be partly involved in pain mechanism associated with spinal stenosis.

• 정보처리학회논문지A
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• 제12A권2호
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• pp.127-136
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• 2005

이 논문에서는 단일 칩 프로세서에서 제한된 공간의 레벨 1 캐시를 구성하고 있는 선인출 캐시 $L_P$와 요구인출 캐시 $L_1$의 합이 일정한 때, $L_1$와 $L_P$의 크기의 적정한 비율을 실험을 통하여 분석하였다. 실험 결과, $L_1$와 $L_P$의 합이 16KB일 경우에는 $L_1$을 12KB, $L_P$를 4KB로 구성하고 $L_P$의 선인출 기법과 캐시교체정책은 각각 OBL과 FEO을 적용시키는 레벨 1 캐시 구조가 가장 성능이 우수함을 보였다. 또한 이 분석은 $L_1$와 $L_P$의 합이 32KB 이상인 경우에는 $L_P$의 선인출 기법으로는 동적필터 기법을 사용하는 것이 유리함을 보였고 32KB의 공간이 가용한 경우에는 $L_1$을 28KB, $L_P$를 4KB로, 64KB가 가용한 경우에는 $L_1$을 48KB, $L_P$를 16KB로 레벨 1 캐시를 분할하는 것이 가장 좋은 성능을 발휘함을 보였다.

• 충청수학회지
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• 제28권3호
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• pp.473-482
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• 2015

Let Qf be the maximal derivative of f with respect to the Bergman metric $b_B$. In this paper, we will find conditions such that $(1-{\parallel}z{\parallel})^s(Qf)^p(z)$ is bounded on B. We will also find conditions such that Bergman projection type operator $P_r$ is bounded operator from $L^p(B,d{\mu}_r)$ to the holomorphic Besov p-space Bs $B^s_p(B)$ with weight s.

• Kyungpook Mathematical Journal
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• 제45권2호
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• pp.255-272
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• 2005

This paper is concerned with studying the weighted $L^P$ boundedness of a class of maximal operators related to homogeneous singular integrals with rough kernels. We obtain appropriate weighted $L^P$ bounds for such maximal operators. Our results are extensions and improvements of the main theorems in [2] and [5].