Marcinkiewicz integrals on product spaces

H. Al-Qassem; A. Al-Salman; L. C. Cheng; Y. Pan

doi:10.4064/sm167-3-4

Marcinkiewicz integrals on product spaces

H. Al-Qassem^*, A. Al-Salman, L. C. Cheng, Y. Pan

^*Corresponding author for this work

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

22 Citations (Scopus)

Abstract

We prove the L^p boundedness of the Marcinkiewicz integral operators μΩ on ℝⁿ¹ × ... × ℝ^nk under the condition that Ω∈L(log L) ^k/2(struck S sign ^n1-1 × ... × struck S sign ^nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].

Original language	English
Pages (from-to)	227-234
Number of pages	8
Journal	Studia Mathematica
Volume	167
Issue number	3
DOIs	https://doi.org/10.4064/sm167-3-4
Publication status	Published - 2005
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.4064/sm167-3-4

Cite this

@article{6de331aaeee1453980b7b045e438fce7,

title = "Marcinkiewicz integrals on product spaces",

abstract = "We prove the Lp boundedness of the Marcinkiewicz integral operators μΩ on ℝn1 × ... × ℝnk under the condition that Ω∈L(log L) k/2(struck S sign n1-1 × ... × struck S sign nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].",

author = "H. Al-Qassem and A. Al-Salman and Cheng, {L. C.} and Y. Pan",

year = "2005",

doi = "10.4064/sm167-3-4",

language = "English",

volume = "167",

pages = "227--234",

journal = "Studia Mathematica",

issn = "0039-3223",

publisher = "Instytut Matematyczny",

number = "3",

}

TY - JOUR

T1 - Marcinkiewicz integrals on product spaces

AU - Al-Qassem, H.

AU - Al-Salman, A.

AU - Cheng, L. C.

AU - Pan, Y.

PY - 2005

Y1 - 2005

N2 - We prove the Lp boundedness of the Marcinkiewicz integral operators μΩ on ℝn1 × ... × ℝnk under the condition that Ω∈L(log L) k/2(struck S sign n1-1 × ... × struck S sign nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].

AB - We prove the Lp boundedness of the Marcinkiewicz integral operators μΩ on ℝn1 × ... × ℝnk under the condition that Ω∈L(log L) k/2(struck S sign n1-1 × ... × struck S sign nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].

UR - http://www.scopus.com/inward/record.url?scp=15844410183&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=15844410183&partnerID=8YFLogxK

U2 - 10.4064/sm167-3-4

DO - 10.4064/sm167-3-4

M3 - Article

AN - SCOPUS:15844410183

SN - 0039-3223

VL - 167

SP - 227

EP - 234

JO - Studia Mathematica

JF - Studia Mathematica

IS - 3

ER -

Marcinkiewicz integrals on product spaces

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this