Boundedness of the Hausdorff operators in hp spaces, 0 < p < 1

Elijah Liflyand; Akihiko Miyachi

doi:10.4064/sm194-3-4

Boundedness of the Hausdorff operators in h^p spaces, 0 < p < 1

Elijah Liflyand, Akihiko Miyachi

Department of Mathematics

Tokyo Woman's Christian University

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

87 Scopus citations

Abstract

Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces H^p, 0 < p < 1, on the real line are proved. Two related negative results are also given.

Original language	English
Pages (from-to)	279-292
Number of pages	14
Journal	Studia Mathematica
Volume	194
Issue number	3
DOIs	https://doi.org/10.4064/sm194-3-4
State	Published - 2009

Keywords

Cesàro operator
Fourier transform
Hardy spaces
Hausdorff operator

Access to Document

10.4064/sm194-3-4

Cite this

@article{80936ce3d555496ca621c79fb2e0b712,

title = "Boundedness of the Hausdorff operators in hp spaces, 0 < p < 1",

abstract = "Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces Hp, 0 < p < 1, on the real line are proved. Two related negative results are also given.",

keywords = "Ces{\`a}ro operator, Fourier transform, Hardy spaces, Hausdorff operator",

author = "Elijah Liflyand and Akihiko Miyachi",

year = "2009",

doi = "10.4064/sm194-3-4",

language = "אנגלית",

volume = "194",

pages = "279--292",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Instytut Matematyczny",

number = "3",

}

TY - JOUR

T1 - Boundedness of the Hausdorff operators in hp spaces, 0 < p < 1

AU - Liflyand, Elijah

AU - Miyachi, Akihiko

PY - 2009

Y1 - 2009

N2 - Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces Hp, 0 < p < 1, on the real line are proved. Two related negative results are also given.

AB - Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces Hp, 0 < p < 1, on the real line are proved. Two related negative results are also given.

KW - Cesàro operator

KW - Fourier transform

KW - Hardy spaces

KW - Hausdorff operator

UR - http://www.scopus.com/inward/record.url?scp=72149105607&partnerID=8YFLogxK

U2 - 10.4064/sm194-3-4

DO - 10.4064/sm194-3-4

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

AN - SCOPUS:72149105607

SN - 0039-3223

VL - 194

SP - 279

EP - 292

JO - Studia Mathematica

JF - Studia Mathematica

IS - 3

ER -

Boundedness of the Hausdorff operators in h^p spaces, 0 < p < 1

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this