Cylinder multipliers associated with a convex polygon

Sunggeum Hong, Joonil Kim, Chan Woo Yang

Research output: Contribution to journalArticlepeer-review

3 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 Hp(ℝ3) when 2/3 < p < 1 and δ = 3(1/p - 1), or when p = 2/3 and δ > 3(1/p - 1).

Original languageEnglish
Pages (from-to)53-78
Number of pages26
JournalIntegral Equations and Operator Theory
Volume60
Issue number1
DOIs
Publication statusPublished - 2008 Jan

Bibliographical note

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

Keywords

  • Cylinder multipliers
  • Hardy spaces
  • Minkowski functional
  • Polygon

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory

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