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

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)613-622
ページ数10
ジャーナルTohoku Mathematical Journal
44
4
DOI
出版ステータスPublished - 1992 12
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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