• Proceedings of the KAIS Fall Conference
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• 2012.05a
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• pp.14-16
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• 2012

본 논문에서는 현재 Jazz에서 사용되어지는 Major Scale에서 나오는 7개 Chord Scale과 Melodic Minor Scale의 상행인 Jazz Minor Scale에서 나오는 7개 Chord Scale과는 별도로 Harmonic Minor Scale에서 정리해 보았다.

• Bulletin of the Korean Mathematical Society
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• v.50 no.5
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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.

• East Asian mathematical journal
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• v.18 no.2
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• pp.235-243
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• 2002

In this paper, we get conditions for the natural projections of some product manifolds with varying metrics of two Riemannian manifolds to be harmonic, and necessary and sufficient conditions for some product manifolds with the harmonic natural projections of two Einstein manifolds to be Einstein manifolds.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.329-334
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• 2000

In this paper, we get staled harmonic maps of an almost Kaehler manifold into itself, using the stability theorem.

• Journal of applied mathematics & informatics
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• v.30 no.5_6
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• pp.865-869
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• 2012

In [2], D. Gaier has given an estimates of harmonic measure. In this paper, we generalize for the K-quasiconformal mapping the corresponding result.

• Bulletin of the Korean Mathematical Society
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• v.42 no.2
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• pp.421-432
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• 2005

Suppose that an infinite graph G of bounded degree has finite number of ends, each of which is p-regular, where $1. Then we can identify all the positive (bounded, respectively) p-harmonic functions on G.

• Journal of the Korean Mathematical Society
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• v.40 no.3
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• pp.435-445
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• 2003

In this paper we consider Sobolev-type embedding theorems for harmonic and holomorphic Sobolev spaces on a bounded domain with $C^2$ boundary.

• Korean Journal of Mathematics
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• v.7 no.2
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• pp.271-280
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• 1999

We study Toeplitz operators on the harmonic Bergman Space $b^p(\mathbf{H})$, where $\mathbf{H}$ is the upper half space in $\mathbf{R}(n{\geq}2)$, for 1 < $p$ < ${\infty}$. We give characterizations for the Toeplitz operators with positive symbols to be bounded.

• East Asian mathematical journal
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• v.31 no.1
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• pp.127-134
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• 2015

We give a rth conic regular functions with conic quaternion variables in $\mathbb{C}^2$ and obtain a hyper-conjugate harmonic function of conic regular function in conic quaternions in the sense of Clifford analysis.

• Honam Mathematical Journal
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• v.40 no.2
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• pp.239-250
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• 2018

In this paper, we establish some new Newton's type integral inequalities for p-harmonic convex functions. Some special cases are also discussed as applications of our main results. Results obtained in this paper may be starting point for further research.