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

• Autorzy: S. Bloom , R. Kerman
• Języki publikacji: EN

Abstrakty

EN

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 $Δ_2$. Such a growth condition is shown to be necessary for any weighted integral inequality to occur. Weak-type conditions are also investigated.

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 110
• Numer: 2
• Strony: 149-167

Daty

wydano

1994

otrzymano

1993-06-23

poprawiono

1993-11-05

Twórcy

autor

S. Bloom

• Department of Mathematics, Siena College, Loudonville, New York 12211, U.S.A.

autor

R. Kerman

• Department of Mathematics, Brock University, St. Catharines, Ontario LS2A1, Canada

Bibliografia

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