Area integrals for riesz measures on the siegel upper half space of type II

研究成果: Article

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The area integrals of harmonic functions on the Siegel upper half space of type II are important tools for studying Hardy spaces and boundary behavior of harmonic functions. In this paper we will extend the area integrals to subharmonic functions on the Siegel upper half space of type II, and prove their Lp-estimates by the admissible maximal functions for all 0<p<∞. The extended area integrals are analogues of the area integrals which were introduced by T. McConell in the case of the Euclidean upper half space.

元の言語English
ページ(範囲)613-622
ページ数10
ジャーナルTohoku Mathematical Journal
44
発行部数4
DOI
出版物ステータスPublished - 1992 1 1
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)

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