Multidimensional Hausdorff operators on the real hardy space

A. K. Lerner; E. Liflyand

doi:10.1017/s1446788700036399

Multidimensional Hausdorff operators on the real hardy space

A. K. Lerner, E. Liflyand

Department of Mathematics

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

116 Scopus citations

Abstract

For a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family is proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and Móricz.

Original language	English
Pages (from-to)	79-86
Number of pages	8
Journal	Journal of the Australian Mathematical Society
Volume	83
Issue number	1
DOIs	https://doi.org/10.1017/s1446788700036399
State	Published - Aug 2007

Keywords

Fourier transform
Hausdorff operator
Real Hardy space

Access to Document

10.1017/s1446788700036399

Cite this

@article{69742eb052ea4bcebe0d6f13514338ed,

title = "Multidimensional Hausdorff operators on the real hardy space",

abstract = "For a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family is proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and M{\'o}ricz.",

keywords = "Fourier transform, Hausdorff operator, Real Hardy space",

author = "Lerner, {A. K.} and E. Liflyand",

year = "2007",

month = aug,

doi = "10.1017/s1446788700036399",

language = "אנגלית",

volume = "83",

pages = "79--86",

journal = "Journal of the Australian Mathematical Society",

issn = "1446-7887",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Multidimensional Hausdorff operators on the real hardy space

AU - Lerner, A. K.

AU - Liflyand, E.

PY - 2007/8

Y1 - 2007/8

N2 - For a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family is proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and Móricz.

AB - For a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family is proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and Móricz.

KW - Fourier transform

KW - Hausdorff operator

KW - Real Hardy space

UR - http://www.scopus.com/inward/record.url?scp=38549104157&partnerID=8YFLogxK

U2 - 10.1017/s1446788700036399

DO - 10.1017/s1446788700036399

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:38549104157

SN - 1446-7887

VL - 83

SP - 79

EP - 86

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

IS - 1

ER -

Multidimensional Hausdorff operators on the real hardy space

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this