Riesz means associated with convex polygons in R2

Sunggeum Hong, Joonil Kim, Chan Woo Yang

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this note we establish sharp weak type Hardy spaces estimates for maximal operators of Riesz means associated with convex polygons in R2.

Original languageEnglish
Pages (from-to)377-395
Number of pages19
JournalJournal of Mathematical Analysis and Applications
Volume331
Issue number1
DOIs
Publication statusPublished - 2007 Jul 1

Fingerprint

Riesz Means
Convex polygon
Maximal Operator
Hardy Space
Estimate

Keywords

  • Hardy spaces
  • Minkowski functional
  • Polygon
  • Riesz mean

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Riesz means associated with convex polygons in R2 . / Hong, Sunggeum; Kim, Joonil; Yang, Chan Woo.

In: Journal of Mathematical Analysis and Applications, Vol. 331, No. 1, 01.07.2007, p. 377-395.

Research output: Contribution to journalArticle

@article{ea948bffa1294371b460a5a39f13dc7c,
title = "Riesz means associated with convex polygons in R2",
abstract = "In this note we establish sharp weak type Hardy spaces estimates for maximal operators of Riesz means associated with convex polygons in R2.",
keywords = "Hardy spaces, Minkowski functional, Polygon, Riesz mean",
author = "Sunggeum Hong and Joonil Kim and Yang, {Chan Woo}",
year = "2007",
month = "7",
day = "1",
doi = "10.1016/j.jmaa.2006.08.052",
language = "English",
volume = "331",
pages = "377--395",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",

}

TY - JOUR

T1 - Riesz means associated with convex polygons in R2

AU - Hong, Sunggeum

AU - Kim, Joonil

AU - Yang, Chan Woo

PY - 2007/7/1

Y1 - 2007/7/1

N2 - In this note we establish sharp weak type Hardy spaces estimates for maximal operators of Riesz means associated with convex polygons in R2.

AB - In this note we establish sharp weak type Hardy spaces estimates for maximal operators of Riesz means associated with convex polygons in R2.

KW - Hardy spaces

KW - Minkowski functional

KW - Polygon

KW - Riesz mean

UR - http://www.scopus.com/inward/record.url?scp=33947107948&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947107948&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2006.08.052

DO - 10.1016/j.jmaa.2006.08.052

M3 - Article

AN - SCOPUS:33947107948

VL - 331

SP - 377

EP - 395

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -