On pointwise estimates for the Littlewood-Paley operators

Andrei K. Lerner

doi:10.1090/S0002-9939-02-06782-5

On pointwise estimates for the Littlewood-Paley operators

Andrei K. Lerner

Department of Mathematics

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

3 Scopus citations

Abstract

In a recent paper we proved pointwise estimates relating some classical maximal and singular integral operators. Here we show that inequalities essentially of the same type hold for the Littlewood-Paley operators.

Original language	English
Pages (from-to)	1459-1469
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-02-06782-5
State	Published - May 2003

Keywords

Littlewood-Paley operators
Pointwise estimates
Rearrangements

Access to Document

10.1090/S0002-9939-02-06782-5

Cite this

@article{0e019541c41949ccac5ebcc2e4c9873a,

title = "On pointwise estimates for the Littlewood-Paley operators",

abstract = "In a recent paper we proved pointwise estimates relating some classical maximal and singular integral operators. Here we show that inequalities essentially of the same type hold for the Littlewood-Paley operators.",

keywords = "Littlewood-Paley operators, Pointwise estimates, Rearrangements",

author = "Lerner, \{Andrei K.\}",

year = "2003",

month = may,

doi = "10.1090/S0002-9939-02-06782-5",

language = "אנגלית",

volume = "131",

pages = "1459--1469",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "5",

}

TY - JOUR

T1 - On pointwise estimates for the Littlewood-Paley operators

AU - Lerner, Andrei K.

PY - 2003/5

Y1 - 2003/5

N2 - In a recent paper we proved pointwise estimates relating some classical maximal and singular integral operators. Here we show that inequalities essentially of the same type hold for the Littlewood-Paley operators.

AB - In a recent paper we proved pointwise estimates relating some classical maximal and singular integral operators. Here we show that inequalities essentially of the same type hold for the Littlewood-Paley operators.

KW - Littlewood-Paley operators

KW - Pointwise estimates

KW - Rearrangements

UR - https://www.scopus.com/pages/publications/0037406130

U2 - 10.1090/S0002-9939-02-06782-5

DO - 10.1090/S0002-9939-02-06782-5

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

AN - SCOPUS:0037406130

SN - 0002-9939

VL - 131

SP - 1459

EP - 1469

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

On pointwise estimates for the Littlewood-Paley operators

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this