Weighted norm inequalities for general maximal operators.

Carlos Pérez Moreno

Displaying similar documents to “Weighted norm inequalities for general maximal operators.”

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Weighted inequalities for the two-dimensional Hardy operator

E. Sawyer (1985)

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Michael Christ (1984)

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Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series

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Javier Duoandikoetxea, Adela Moyua (1992)

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We prove weighted inequalities for square functions of Littlewood-Paley type defined from a decomposition of the plane into sectors of lacunary aperture and for the maximal function over a lacunary set of directions. Some applications to multiplier theorems are also given.

Two weighted inequalities for convolution maximal operators.

Ana Lucía Bernardis, Francisco Javier Martín-Reyes (2002)

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Let φ: R → [0,∞) an integrable function such that φχ = 0 and φ is decreasing in (0,∞). Let τf(x) = f(x-h), with h ∈ R {0} and f(x) = 1/R f(x/R), with R > 0. In this paper we characterize the pair of weights (u, v) such that the operators Mf(x) = sup|f| * [τφ](x) are of weak type (p, p) with respect to (u, v), 1 < p < ∞.

Weighted inequalities on product domains

Shuichi Sato (1989)

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The equivalence of two conditions for weight functions

Benjamin Muckenhoupt (1974)

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A remark on Fefferman-Stein's inequalities.

Y. Rakotondratsimba (1998)

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It is proved that, for some reverse doubling weight functions, the related operator which appears in the Fefferman Stein's inequality can be taken smaller than those operators for which such an inequality is known to be true.

Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.

Y. Rakotondratsimba (1994)

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For some pairs of weight functions u, v which satisfy the well-known Muckenhoupt conditions, we derive the boundedness of the maximal fractional operator M (0 ≤ s < n) from L to L with q < p.

Sharp one-weight and two-weight bounds for maximal operators

Kabe Moen (2009)

Studia Mathematica

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We investigate the boundedness of the fractional maximal operator with respect to a general basis on weighted Lebesgue spaces. We characterize the boundedness of these operators for one-weight and two-weight inequalities extending the work of Jawerth. A new two-weight testing condition for the fractional maximal operator on a general basis is introduced extending the work of Sawyer for the basis of cubes. We also find the sharp dependence in the two-weight case between the operator norm...