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ArticleOriginal scientific text

Title

Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator

Authors 1, 2

Affiliations

  1. Department of Mathematics, Siena College, Loudonville, New York 12211, U.S.A.
  2. Department of Mathematics, Brock University, St. Catharines, Ontario LS2A1, Canada

Abstract

Necessary and sufficient conditions are given for the Hardy-Littlewood maximal operator to be bounded on a weighted Orlicz space when the complementary Young function satisfies Δ2. Such a growth condition is shown to be necessary for any weighted integral inequality to occur. Weak-type conditions are also investigated.

Bibliography

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Studia Mathematica
1994/110/2
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Pages:
149-167
Main language of publication
English
Received
1993-06-23
Accepted
1993-11-05
Published
1994
Exact and natural sciences