The multi-parameter hausdorff operator is bounded on the product hardy space h11(r x r)

Elijah Liflyand; Ferenc Móricz

doi:10.1524/anly.2001.21.2.107

The multi-parameter hausdorff operator is bounded on the product hardy space h¹¹(r x r)

Elijah Liflyand, Ferenc Móricz

Department of Mathematics

University of Szeged

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

28 Scopus citations

Abstract

Following R. Fefferman, the product Hardy space We also consider the one-parameter Hausdorff operators (with respect to the first or second variable) and establish their Fourier analytic properties on the class of functions in the mixed Hardy spaces H¹⁰(R²) and H⁰¹(R²).

Original language	English
Pages (from-to)	107-118
Number of pages	12
Journal	Analysis (Germany)
Volume	21
Issue number	2
DOIs	https://doi.org/10.1524/anly.2001.21.2.107
State	Published - 2001

Access to Document

10.1524/anly.2001.21.2.107

Cite this

@article{f9e7535afd9145e1ba0f5bd75df399c9,

title = "The multi-parameter hausdorff operator is bounded on the product hardy space h11(r x r)",

abstract = "Following R. Fefferman, the product Hardy space We also consider the one-parameter Hausdorff operators (with respect to the first or second variable) and establish their Fourier analytic properties on the class of functions in the mixed Hardy spaces H10(R2) and H01(R2).",

author = "Elijah Liflyand and Ferenc M{\'o}ricz",

year = "2001",

doi = "10.1524/anly.2001.21.2.107",

language = "אנגלית",

volume = "21",

pages = "107--118",

journal = "Analysis (Germany)",

issn = "0174-4747",

publisher = "Walter de Gruyter GmbH",

number = "2",

}

TY - JOUR

T1 - The multi-parameter hausdorff operator is bounded on the product hardy space h11(r x r)

AU - Liflyand, Elijah

AU - Móricz, Ferenc

PY - 2001

Y1 - 2001

N2 - Following R. Fefferman, the product Hardy space We also consider the one-parameter Hausdorff operators (with respect to the first or second variable) and establish their Fourier analytic properties on the class of functions in the mixed Hardy spaces H10(R2) and H01(R2).

AB - Following R. Fefferman, the product Hardy space We also consider the one-parameter Hausdorff operators (with respect to the first or second variable) and establish their Fourier analytic properties on the class of functions in the mixed Hardy spaces H10(R2) and H01(R2).

UR - http://www.scopus.com/inward/record.url?scp=0011690924&partnerID=8YFLogxK

U2 - 10.1524/anly.2001.21.2.107

DO - 10.1524/anly.2001.21.2.107

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

AN - SCOPUS:0011690924

SN - 0174-4747

VL - 21

SP - 107

EP - 118

JO - Analysis (Germany)

JF - Analysis (Germany)

IS - 2

ER -

The multi-parameter hausdorff operator is bounded on the product hardy space h¹¹(r x r)

Abstract

Access to Document

Other files and links

Fingerprint

Cite this