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

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)613-622
Number of pages10
JournalTohoku Mathematical Journal
Volume44
Issue number4
DOIs
Publication statusPublished - 1992 Jan 1
Externally publishedYes

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Surface integral
Half-space
Harmonic Functions
Subharmonic Function
Lp Estimates
Boundary Behavior
Maximal Function
Hardy Space
Euclidean
Analogue

Keywords

  • Area integrals
  • Siegel upper half spaces
  • Subharmonic functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Area integrals for riesz measures on the siegel upper half space of type II. / Arai, Hitoshi.

In: Tohoku Mathematical Journal, Vol. 44, No. 4, 01.01.1992, p. 613-622.

Research output: Contribution to journalArticle

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