Two-weight mixed ф-inequalities for the one-sided maximal function

Qinsheng Lai

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Displaying similar documents to “Two-weight mixed ф-inequalities for the one-sided maximal function”

Two-weight weak type maximal inequalities in Orlicz classes

Luboš Pick (1991)

Studia Mathematica

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Necessary and sufficient conditions are shown in order that the inequalities of the form $ϱ (M_{μ} f > λ) Φ (λ) \leq C ʃ_{X} Ψ (C | f (x) |) σ (x) d μ$ , or $ϱ (M_{μ} f > λ) \leq C ʃ_{X} Φ (C λ^{- 1} | f (x) |) σ (x) d μ$ hold with some positive C independent of λ > 0 and a μ-measurable function f, where (X,μ) is a space with a complete doubling measure μ, $M_{μ}$ is the maximal operator with respect to μ, Φ, Ψ are arbitrary Young functions, and ϱ, σ are weights, not necessarily doubling.

Two-weight mixed norm inequalities for maximal operators and extrapolation results for the fractional maximal operator

Mark Leckband (1987)

Studia Mathematica

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

S. Bloom, R. Kerman (1994)

Studia Mathematica

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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.

Weak bounds for the maximal function in weighted Orlicz spaces

Richard Bagby (1990)

Studia Mathematica

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Weighted norm inequalities on spaces of homogeneous type

Qiyu Sun (1992)

Studia Mathematica

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We give a characterization of the weights (u,w) for which the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w). We give a characterization of the weight functions w (respectively u) for which there exists a nontrivial u (respectively w > 0 almost everywhere) such that the Hardy-Littlewood maximal operator is bounded from the Orlicz space L_Φ(u) to L_Φ(w).

Weighted generalized weak type inequalities for modified Hardy operators.

Pedro Ortega Salvador (2000)

Collectanea Mathematica

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Norm inequalities for off-centered maximal operators.

Richard L. Wheeden (1993)

Publicacions Matemàtiques

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Sufficient conditions are derived in order that there exist strong-type weighted norm inequalities for some off-centered maximal functions. The maximal functions are of Hardy-Littlewood and fractional types taken over starlike sets in R. The sufficient conditions are close to necessary and extend some previously known weak-type results.

Weighted $L_{Φ}$ integral inequalities for operators of Hardy type

Steven Bloom, Ron Kerman (1994)

Studia Mathematica

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Necessary and sufficient conditions are given on the weights t, u, v, and w, in order for $Φ_{2}^{- 1} (ʃ Φ_{2} (w (x) | T f (x) |) t (x) d x) \leq Φ_{1}^{- 1} (ʃ Φ_{1} (C u (x) | f (x) |) v (x) d x)$ to hold when $Φ_{1}$ and $Φ_{2}$ are N-functions with $Φ_{2} \circ Φ_{1}^{- 1}$ convex, and T is the Hardy operator or a generalized Hardy operator. Weak-type characterizations are given for monotone operators and the connection between weak-type and strong-type inequalities is explored.

Weighted norm inequalities and Schur's Lemma

Michael Christ (1984)

Studia Mathematica

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Weighted norm inequalities for Riesz potentials and fractional maximal functions in mixed norm Lebesgue spaces

Tord Sjödin (1990)

Studia Mathematica

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