Weights and L log L

A. Carbery; S. Y.A. Chang; J. Garnett

doi:10.2140/pjm.1985.120.33

Weights and L log L

A. Carbery, S. Y.A. Chang, J. Garnett

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7 Scopus citations

Abstract

Let ω(x) be a positive locally integrable weight on [0,1]. Discussed are conditions on ω necessary and sufficient for the (dyadic) Hardy-Littlewood maximal function to map L log L(w dx) into L¹(ω dx) or into weak L¹.

Original language	English (US)
Pages (from-to)	33-45
Number of pages	13
Journal	Pacific Journal of Mathematics
Volume	120
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1985.120.33
State	Published - Nov 1985
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.2140/pjm.1985.120.33

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title = "Weights and L log L",

abstract = "Let ω(x) be a positive locally integrable weight on [0,1]. Discussed are conditions on ω necessary and sufficient for the (dyadic) Hardy-Littlewood maximal function to map L log L(w dx) into L1(ω dx) or into weak L1.",

author = "A. Carbery and Chang, {S. Y.A.} and J. Garnett",

year = "1985",

month = nov,

doi = "10.2140/pjm.1985.120.33",

language = "English (US)",

volume = "120",

pages = "33--45",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

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T1 - Weights and L log L

AU - Carbery, A.

AU - Chang, S. Y.A.

AU - Garnett, J.

PY - 1985/11

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N2 - Let ω(x) be a positive locally integrable weight on [0,1]. Discussed are conditions on ω necessary and sufficient for the (dyadic) Hardy-Littlewood maximal function to map L log L(w dx) into L1(ω dx) or into weak L1.

AB - Let ω(x) be a positive locally integrable weight on [0,1]. Discussed are conditions on ω necessary and sufficient for the (dyadic) Hardy-Littlewood maximal function to map L log L(w dx) into L1(ω dx) or into weak L1.

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DO - 10.2140/pjm.1985.120.33

M3 - Article

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VL - 120

SP - 33

EP - 45

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 1

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Weights and L log L

Abstract

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