Representations of Subharmonic Hardy Functions in the Complex Ball

박종희; 권언근

doi:http://dx.doi.org/10.7858/eamj.2018.037

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Representations of Subharmonic Hardy Functions in the Complex Ball

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decomposition of Laplacian invariant Laplacian subharmonic function Hardy class.

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초록

ForthepurposeofcharacterizingsubharmonicorM-subharmonic Hardy classes in the unit ball of Cn, we establish fundamental identities between integral means in terms of volume integrals and Green’s functions.

Abstract

ForthepurposeofcharacterizingsubharmonicorM-subharmonic Hardy classes in the unit ball of Cn, we establish fundamental identities between integral means in terms of volume integrals and Green’s functions.

참고문헌 (4)

E. G. Kwon, "Decomposition of the Laplacian and pluriharmonic Bloch functions", Filomat, 31(1), pp.97~102 (2017)[DOI]
권언근, "On M-subharmonicity in the ball", 대한수학회논문집, 28(3), pp.511~516 (2013), 대한수학회
TEX>, "Function Theory in the unit ball of <TEX>${\mathbb{C}}^n$<", pp.1980, W. Rudin
TEX>, "Invariant potential theory in the unit ball of <TEX>${\mathbb{C}}^n$<", pp.1994, M. Stoll

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Abstract

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