On Weak Type Inequalities for Rare Maximal Functions

Kathryn E. Hare; Alexander M. Stokolos

doi:10.4064/cm-83-2-173-182

On Weak Type Inequalities for Rare Maximal Functions

Kathryn E. Hare, Alexander M. Stokolos

Mathematical Sciences

University of Waterloo

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

Abstract

The properties of rare maximal functions (i.e. Hardy–Littlewood maximal functions associated with sparse families of intervals) are investigated. A simple criterion allows one to decide if a given rare maximal function satisfies a converse weak type inequality. The summability properties of rare maximal functions are also considered.

Original language	American English
Journal	Colloquium Mathematicum
Volume	83
DOIs	https://doi.org/10.4064/cm-83-2-173-182
State	Published - 2000

Keywords

Rare Maximal Functions
Weak Type Inequalities

DC Disciplines

Mathematics

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title = "On Weak Type Inequalities for Rare Maximal Functions",

abstract = " The properties of rare maximal functions (i.e. Hardy–Littlewood maximal functions associated with sparse families of intervals) are investigated. A simple criterion allows one to decide if a given rare maximal function satisfies a converse weak type inequality. The summability properties of rare maximal functions are also considered.",

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AU - Stokolos, Alexander M.

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AB - The properties of rare maximal functions (i.e. Hardy–Littlewood maximal functions associated with sparse families of intervals) are investigated. A simple criterion allows one to decide if a given rare maximal function satisfies a converse weak type inequality. The summability properties of rare maximal functions are also considered.

KW - Rare Maximal Functions

KW - Weak Type Inequalities

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DO - 10.4064/cm-83-2-173-182

M3 - Article

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VL - 83

JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

ER -

On Weak Type Inequalities for Rare Maximal Functions

Abstract

Keywords

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