The spherical maximal function on the free two-step nilpotent Lie group

Véronique Fischer

doi:10.7146/math.scand.a-15002

The spherical maximal function on the free two-step nilpotent Lie group

Véronique Fischer

Goteborg University

Research output: Contribution to journal › Article › peer-review

7 Citations (SciVal)

Abstract

We consider here the free two step nilpotent Lie group, provided with the homogeneous Korányi norm; we prove the L^p-boundedness of the maximal function corresponding to the homogeneous unit sphere, for some p.

Original language	English
Pages (from-to)	99-118
Number of pages	20
Journal	Mathematica Scandinavica
Volume	99
Issue number	1
DOIs	https://doi.org/10.7146/math.scand.a-15002
Publication status	Published - 1 Jan 2006

ASJC Scopus subject areas

General Mathematics

Access to Document

10.7146/math.scand.a-15002

Cite this

@article{1f4c6406c39d4ed480b6c82aadb47659,

title = "The spherical maximal function on the free two-step nilpotent Lie group",

abstract = "We consider here the free two step nilpotent Lie group, provided with the homogeneous Kor{\'a}nyi norm; we prove the Lp-boundedness of the maximal function corresponding to the homogeneous unit sphere, for some p.",

author = "V{\'e}ronique Fischer",

year = "2006",

month = jan,

day = "1",

doi = "10.7146/math.scand.a-15002",

language = "English",

volume = "99",

pages = "99--118",

journal = "Mathematica Scandinavica",

issn = "0025-5521",

publisher = "Mathematica Scandinavica",

number = "1",

}

TY - JOUR

T1 - The spherical maximal function on the free two-step nilpotent Lie group

AU - Fischer, Véronique

PY - 2006/1/1

Y1 - 2006/1/1

N2 - We consider here the free two step nilpotent Lie group, provided with the homogeneous Korányi norm; we prove the Lp-boundedness of the maximal function corresponding to the homogeneous unit sphere, for some p.

AB - We consider here the free two step nilpotent Lie group, provided with the homogeneous Korányi norm; we prove the Lp-boundedness of the maximal function corresponding to the homogeneous unit sphere, for some p.

UR - https://www.scopus.com/pages/publications/33845238680

U2 - 10.7146/math.scand.a-15002

DO - 10.7146/math.scand.a-15002

M3 - Article

AN - SCOPUS:33845238680

SN - 0025-5521

VL - 99

SP - 99

EP - 118

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

IS - 1

ER -

The spherical maximal function on the free two-step nilpotent Lie group

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this