• 대한수학회보
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• 제50권5호
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• pp.1451-1469
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• 2013

We present various new sharp assertions on multipliers in mixed norm, weighted Hardy and new Lizorkin-Triebel spaces of harmonic functions in higher dimension. Some results are new even in onedimensional case.

• Korean Journal of Mathematics
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• 제4권2호
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• pp.149-161
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• 1996

We define the fuzzy uniformly continuous map and investigate some properties of fuzzy uniformly continuous maps. We will prove the existences of initial fuzzy uniform structures induced by some functions. From this fact, we construct the product of two fuzzy uniform spaces.

• Korean Journal of Mathematics
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• 제16권2호
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• pp.173-189
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• 2008

In strictly two-sided, commutative quantale, we introduce the notion of Hutton (L,${\otimes}$­)-uniform spaces and covering (L,${\odot}$)-uniform spaces and investigate the properties of them.

• Kyungpook Mathematical Journal
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• 제45권1호
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• pp.13-19
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• 2005

In this paper we introduce the notions of g-regularity and g-normality in fuzzy topological spaces. We obtain some characterizations and several preservation theorems of such spaces.

• East Asian mathematical journal
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• 제22권1호
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• pp.17-35
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• 2006

Some additive reverses of the continuous triangle inequality for Bochner integral of vector-valued functions in Banach spaces are given. Applications for complex-valued functions are considered as well.

• East Asian mathematical journal
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• 제21권1호
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• pp.123-135
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• 2005

We have extended the $H^p$ space and estabilished the derivative of inner functions, Blaschke product on weighted Hardy spaces for the unit disc in complex plane.

• Journal of applied mathematics & informatics
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• 제26권5_6호
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• pp.901-910
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• 2008

For some generalized N-function ${\Phi}$, some Holder type inequalities and bounded operators on spaces of type $W_M^{\Omega,\Phi}$ generalizing the $W^p$-spaces due to Pathak and Upadhyay are obtained.

• East Asian mathematical journal
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• 제23권1호
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• pp.59-73
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• 2007

A new reverse of the generalised triangle inequality that complements the classical results of Diaz and Metcalf is obtained. Applications for inner product spaces and for complex numbers are provided.

• 대한수학회논문집
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• 제14권2호
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• pp.393-403
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• 1999

Some fuzzy T\ulcorner-axioms are characterized in terms of the notion of fuzzy closure and the relationship between those fuzzy T\ulcorner-axioms are obtained. Also, finite fuzzy topological spaces satisfying one of those axioms are studied.

• 대한수학회보
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• 제37권2호
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• pp.387-400
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• 2000

We introduce the fuzzy semiregularization space induced by a fuzzy topological space and investigate some properties of fuzzy semiregularization spaces. We give an example of a fuzzy semiregularization space that is not a fuzzy semiregular space.