On a Weak L1 Property of Maximal Operators on Non-CompactSemisimple Lie Groups

Takeshi Kawazoe, Liu Jianming

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We shall give a simple proof of the weak type L1 inequality for the K-bi-invariant Hardy-Littlewood maximal functions on non-compact real rank one semisimple Lie groups. For higher rank groups we do under an assumption which holds for the most parts. And on SU(n, n + k) we introduce a maximal operator defined by the characteristic function supported on a cube, and show that the operator also satisfies the weak L1 property.

Original languageEnglish
Pages (from-to)165-180
Number of pages16
JournalTokyo Journal of Mathematics
Volume25
Issue number1
DOIs
Publication statusPublished - 2002 Jan 1

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Maximal Operator
Hardy-Littlewood Maximal Function
Semisimple Lie Group
Characteristic Function
Regular hexahedron
Invariant
Operator

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On a Weak L1 Property of Maximal Operators on Non-CompactSemisimple Lie Groups. / Kawazoe, Takeshi; Jianming, Liu.

In: Tokyo Journal of Mathematics, Vol. 25, No. 1, 01.01.2002, p. 165-180.

Research output: Contribution to journalArticle

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