Cylinder multipliers associated with a convex polygon

Sunggeum Hong; Joonil Kim; Chan Woo Yang

doi:10.1007/s00020-007-1543-8

Cylinder multipliers associated with a convex polygon

Sunggeum Hong, Joonil Kim, Chan Woo Yang

Department of Mathematics

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

2 Citations (Scopus)

Abstract

In this paper we prove that sharp weak-type estimates for the maximal operators associated with a cylindric distance function associated with a convex polygon on H^p(ℝ³) when 2/3 < p < 1 and δ = 3(1/p - 1), or when p = 2/3 and δ > 3(1/p - 1).

Original language	English
Pages (from-to)	53-78
Number of pages	26
Journal	Integral Equations and Operator Theory
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s00020-007-1543-8
Publication status	Published - 2008 Jan

Keywords

Cylinder multipliers
Hardy spaces
Minkowski functional
Polygon

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-007-1543-8

Cite this

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title = "Cylinder multipliers associated with a convex polygon",

abstract = "In this paper we prove that sharp weak-type estimates for the maximal operators associated with a cylindric distance function associated with a convex polygon on Hp(ℝ3) when 2/3 < p < 1 and δ = 3(1/p - 1), or when p = 2/3 and δ > 3(1/p - 1).",

keywords = "Cylinder multipliers, Hardy spaces, Minkowski functional, Polygon",

author = "Sunggeum Hong and Joonil Kim and Yang, {Chan Woo}",

note = "Funding Information: This work was supported (in part) by research funds from Chosun University, 2007.",

year = "2008",

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AU - Hong, Sunggeum

AU - Kim, Joonil

AU - Yang, Chan Woo

N1 - Funding Information: This work was supported (in part) by research funds from Chosun University, 2007.

PY - 2008/1

Y1 - 2008/1

N2 - In this paper we prove that sharp weak-type estimates for the maximal operators associated with a cylindric distance function associated with a convex polygon on Hp(ℝ3) when 2/3 < p < 1 and δ = 3(1/p - 1), or when p = 2/3 and δ > 3(1/p - 1).

AB - In this paper we prove that sharp weak-type estimates for the maximal operators associated with a cylindric distance function associated with a convex polygon on Hp(ℝ3) when 2/3 < p < 1 and δ = 3(1/p - 1), or when p = 2/3 and δ > 3(1/p - 1).

KW - Cylinder multipliers

KW - Hardy spaces

KW - Minkowski functional

KW - Polygon

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U2 - 10.1007/s00020-007-1543-8

DO - 10.1007/s00020-007-1543-8

M3 - Article

AN - SCOPUS:39549094296

SN - 0378-620X

VL - 60

SP - 53

EP - 78

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 1

ER -

Cylinder multipliers associated with a convex polygon

Abstract

Keywords

ASJC Scopus subject areas

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