논문KCI 등재
Volume integral means of harmonic functions on smooth boundary domains
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We newly define the volume integral means of harmonic func- tions to characterize the weighted harmonic Bergman spaces. It is based on Xiao and Zhu’s results on holomorphic Bergman spaces [5].
Abstract
We newly define the volume integral means of harmonic func- tions to characterize the weighted harmonic Bergman spaces. It is based on Xiao and Zhu’s results on holomorphic Bergman spaces [5].
참고문헌 (5)
- S. Axler, "Harmonic Function Theory" (2001), Springer-Verlag
- S. G. Krantz, "The Geometry of Domains in Space, Birkhauser Adv. Texts Basler Lehrbucher" (1999), Birkhauser Boston, Inc
- K. Nam, "Mean value property and a Berezin-type transform on the half-space", J. Math. Anal. Appl, 381(2), pp.914~921 (2011)
- M. Pavlovi´c, "Hardy-Stein type characterization of harmonic Bergman spaces", Potential Anal, 32(1), pp.1~15 (2010)
- J. Xiao, "Volume integral means of holomorphic functions", Proc. Amer. Math. Soc, 139(4), pp.1455~1465 (2011)
관련 논문AI추천
Remarks on weighted harmonic Bergman functions on half-spaces이흥수장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONSJinjing Qiao, Xi Fu대한수학회 · 대한수학회보2021 · 제58권 제2호Weighted Harmonic Bergman functions on Half-Spaces구형운, 남계숙, 이흥수대한수학회 · 대한수학회지2005 · 제42권 제5호Lipschitz type characterizations of harmonic Bergman spaces남계숙대한수학회 · 대한수학회보2013 · 제50권 제4호WEIGHED HARMONIC BERGMAN FUNCTIONS AS RADIAL DERIVATIVES OF BERGMAN FUNCTIONS ON HALF-SPACES위형수장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제1호Representations of Subharmonic Hardy Functions in the Complex Ball권언근, 박종희영남수학회 · East Asian Mathematical Journal2018 · 제34권 제5호
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