UNIONS OF LEBESGUE SPACES AND A1 MAJORANTS

Greg Knese; John E. Mccarthy; Kabe Moen

doi:10.2140/PJM.2016.280.155

UNIONS OF LEBESGUE SPACES AND A₁ MAJORANTS

Greg Knese
, John E. Mccarthy
, Kabe Moen

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

Abstract

We study two questions. When does a function belong to the union of Lebesgue spaces, and when does a function have an A1 majorant? Weprovide a systematic study of these questions and show that they are fundamentallyrelated.

Original language	English
Pages (from-to)	411-432
Number of pages	22
Journal	Pacific Journal of Mathematics
Volume	280
Issue number	2
DOIs	https://doi.org/10.2140/PJM.2016.280.155
State	Published - 2016

Keywords

A spaces
Hardy spaces
L spaces
Maximal functions
Weighted l spaces

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10.2140/PJM.2016.280.155

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title = "UNIONS OF LEBESGUE SPACES AND A1 MAJORANTS",

abstract = "We study two questions. When does a function belong to the union of Lebesgue spaces, and when does a function have an A1 majorant? Weprovide a systematic study of these questions and show that they are fundamentallyrelated.",

keywords = "A spaces, Hardy spaces, L spaces, Maximal functions, Weighted l spaces",

author = "Greg Knese and Mccarthy, \{John E.\} and Kabe Moen",

year = "2016",

doi = "10.2140/PJM.2016.280.155",

language = "English",

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pages = "411--432",

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AU - Knese, Greg

AU - Mccarthy, John E.

AU - Moen, Kabe

PY - 2016

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N2 - We study two questions. When does a function belong to the union of Lebesgue spaces, and when does a function have an A1 majorant? Weprovide a systematic study of these questions and show that they are fundamentallyrelated.

AB - We study two questions. When does a function belong to the union of Lebesgue spaces, and when does a function have an A1 majorant? Weprovide a systematic study of these questions and show that they are fundamentallyrelated.

KW - A spaces

KW - Hardy spaces

KW - L spaces

KW - Maximal functions

KW - Weighted l spaces

UR - https://www.scopus.com/pages/publications/85122241153

U2 - 10.2140/PJM.2016.280.155

DO - 10.2140/PJM.2016.280.155

M3 - Article

AN - SCOPUS:85122241153

SN - 0030-8730

VL - 280

SP - 411

EP - 432

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

UNIONS OF LEBESGUE SPACES AND A₁ MAJORANTS

Abstract

Keywords

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