New proofs of two-weight norm inequalities for the maximal operator.

Cruz-Uribe, D.

Displaying similar documents to “New proofs of two-weight norm inequalities for the maximal operator.”

Weighted $L_{Φ}$ integral inequalities for maximal operators.

Rakotondratsimba, Y. (1996)

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Criteria of strong type two-weighted inequalities for fractional maximal functions.

Gogatishvili, A., Kokilashvili, V. (1996)

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Characterization of a two-weighted vector-valued inequality for fractional maximal operators.

Rakotondratsimba, Y. (1998)

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A simple proof of a weighted inequality for the Hardy-Littlewood maximal operator in $ℝ^{n}$ .

Castillo, René Erlin, Trousselot, Eduard (2009)

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On weighted norm integral inequality of g. h. Hardy's type

K. Rauf, J. O. Omolehin (2006)

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Two-weighted inequalities for integral operators in Lorentz spaces defined on homogeneous groups.

Kokilashvili, V., Meskhi, A. (1999)

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Solution of two-weight problems for integral transforms with positive kernels.

Genebashvili, I., Gogatishvili, A., Kokilashvili, V. (1996)

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On weighted inequalities for operators of potential type

Shiying Zhao (1996)

Colloquium Mathematicae

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In this paper, we discuss a class of weighted inequalities for operators of potential type on homogeneous spaces. We give sufficient conditions for the weak and strong type weighted inequalities sup_{λ>0} λ|{x ∈ X : |T(fdσ)(x)|>λ }|_{ω}^{1/q} ≤ C (∫_{X} |f|^{p}dσ)^{1/p} and (∫_{X} |T(fdσ)|^{q}dω )^{1/q} ≤ C (∫_X |f|^{p}dσ )^{1/p} in the cases of 0 < q < p ≤ ∞ and 1 ≤ q < p < ∞, respectively, where T is an operator of potential type, and ω and σ are Borel measures on...

On the boundedness of classical operators on weighted Lorentz spaces.

Rakotondratsimba, Y. (1998)

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Generalized Hausdorff operators on weighted Herz spaces

Kuang Jichang (2014)

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Singular integrals in weighted Lebesgue spaces with variable exponent.

Kokilashvili, V., Samko, S. (2003)

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Some generalization of weighted norm inequalities for certain class of integral operators

K. Rauf, C. O. Imoru (2002)

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Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω

Karapetyants, Nikolai, Samko, Natasha (2004)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 26A16, 26A33, 46E15. There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.