Weak type estimates for maximal operators with a cylindric distance function

Sunggeum Hong; Paul Taylor; Chan Woo Yang

doi:10.1007/s00209-005-0871-0

Weak type estimates for maximal operators with a cylindric distance function

Sunggeum Hong, Paul Taylor, Chan Woo Yang

Department of Mathematics

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

8 Citations (Scopus)

Abstract

We establish sharp weak-type estimates for the maximal operators T ^λ * associated with cylindric Riesz means for functions on H ^p (ℝ³) when 4/5 <p<1 and λ=3/p-5/2, and when p=4/5 and λ>3/p-5/2.

Original language	English
Pages (from-to)	1-24
Number of pages	24
Journal	Mathematische Zeitschrift
Volume	253
Issue number	1
DOIs	https://doi.org/10.1007/s00209-005-0871-0
Publication status	Published - 2006 May

Keywords

Bochner-Riesz mean
Cylindric distance
Multipliers
Weak type estimates

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00209-005-0871-0

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title = "Weak type estimates for maximal operators with a cylindric distance function",

abstract = "We establish sharp weak-type estimates for the maximal operators T λ * associated with cylindric Riesz means for functions on H p (ℝ3) when 4/5 3/p-5/2.",

keywords = "Bochner-Riesz mean, Cylindric distance, Multipliers, Weak type estimates",

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AU - Taylor, Paul

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KW - Bochner-Riesz mean

KW - Cylindric distance

KW - Multipliers

KW - Weak type estimates

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Weak type estimates for maximal operators with a cylindric distance function

Abstract

Keywords

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