• Journal of the Korean Mathematical Society
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• v.33 no.2
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• pp.283-290
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• 1996

We can expect a close relationship between the Bergman kernel and the Szego kernel of a domain because we can change boundary integrals to solid integrals via Green's identity.

• Korean Journal of Mathematics
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• v.20 no.4
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• pp.381-393
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• 2012

In this paper, we introduce the Choquet-Pettis integral of set-valued mappings and investigate some properties and convergence theorems for the set-valued Choquet-Pettis integrals.

• Journal of the Korean Mathematical Society
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• v.38 no.2
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• pp.365-383
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• 2001

We consider path integrals, more precisely projective systems of Fresnel distributions, associated with Sturm-Liouville boundary value problems.

• Journal of the Chungcheong Mathematical Society
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• v.8 no.1
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• pp.147-152
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• 1995

In this paper, we study the properties of the McShane and Henstock integrals for the case in which the function has values in a Banach space.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.12 no.4
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• pp.223-226
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• 2008

Duke and Imamo$\bar{g}$lu express the Eichler integrals associated to modular forms of weight 3 in terms of generalized hypergeometric functions. We extend this result to most general modular forms of weight 3.

• Journal of the Chungcheong Mathematical Society
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• v.13 no.1
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• pp.21-26
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• 2000

In this paper, we define the strong Perron integral and study the relationship between the integrals of strong Perron and McShane.

• Journal of the Chungcheong Mathematical Society
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• v.10 no.1
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• pp.29-36
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• 1997

In this paper, we verify that Perron, Henstock and variational Stieltjes integrals are all equivalent. That is, a function which is integrable in one sense is integrable in the other sense and their values are all equal.

• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.809-822
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• 1999

In this paper, we introduce conditional Yeh-Wiener in-tegrals for generalized conditioning functions including vector-valued functions. And also we establish various evaluation formulas of conditional Yeh-Wiener integrals for generalized conditioning functions.

• East Asian mathematical journal
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• v.4
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• pp.33-39
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• 1988

The object of the present paper is to derive some inequalities for certain integrals of functions belonging to the classes A(n), S*(n,$\alpha$) and K(n,$\alpha$). As the special class of our theorems, we have the corresponding result shown by M. $Obradovi\'{c}$ [2].

• Communications of the Korean Mathematical Society
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• v.12 no.1
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• pp.51-58
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• 1997

On the setting of the upper half-space, H of the euclidean n-space, we consider the question of when the Poisson integral of a function on the boundary of H is a harmonic Bergman function and here we give a partial answer.