Riesz means associated with convex polygons in R2

Sunggeum Hong; Joonil Kim; Chan Woo Yang

doi:10.1016/j.jmaa.2006.08.052

Riesz means associated with convex polygons in R²

Sunggeum Hong, Joonil Kim, Chan Woo Yang

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

5 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 language	English
Pages (from-to)	377-395
Number of pages	19
Journal	Journal of Mathematical Analysis and Applications
Volume	331
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2006.08.052
Publication status	Published - 2007 Jul 1

Bibliographical note

Funding Information:
* Corresponding author. E-mail addresses: [email protected] (S. Hong), [email protected] (J. Kim), [email protected] (C.W. Yang). 1 The author was supported (in part) by research funds from Chosun University, 2004. 2 The author was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF-2005-041-C00021).

Keywords

Hardy spaces
Minkowski functional
Polygon
Riesz mean

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.jmaa.2006.08.052

Cite this

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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}",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (S. Hong), [email protected] (J. Kim), [email protected] (C.W. Yang). 1 The author was supported (in part) by research funds from Chosun University, 2004. 2 The author was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF-2005-041-C00021).",

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AU - Kim, Joonil

AU - Yang, Chan Woo

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (S. Hong), [email protected] (J. Kim), [email protected] (C.W. Yang). 1 The author was supported (in part) by research funds from Chosun University, 2004. 2 The author was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF-2005-041-C00021).

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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

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