Boundedness of classical operators on classical Lorentz spaces
E. Sawyer (1990)
Studia Mathematica
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Displaying similar documents to “A sharp rearrangement inequality for the fractional maximal operator”
Boundedness of classical operators on classical Lorentz spaces
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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On pointwise estimates for maximal and singular integral operators
A. Lerner (2000)
Studia Mathematica
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We prove two pointwise estimates relating some classical maximal and singular integral operators. In particular, these estimates imply well-known rearrangement inequalities, and BLO-norm inequalities
Two-weight mixed ф-inequalities for the one-sided maximal function
Qinsheng Lai (1995)
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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Distribution and rearrangement estimates of the maximal function and interpolation
Irina Asekritova, Natan Krugljak, Lech Maligranda, Lars-Erik Persson (1997)
Studia Mathematica
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There are given necessary and sufficient conditions on a measure dμ(x)=w(x)dx under which the key estimates for the distribution and rearrangement of the maximal function due to Riesz, Wiener, Herz and Stein are valid. As a consequence, we obtain the equivalence of the Riesz and Wiener inequalities which seems to be new even for the Lebesgue measure. Our main tools are estimates of the distribution of the averaging function f** and a modified version of the Calderón-Zygmund decomposition....
Weighted Lorentz norm inequalities for integral operators
Elida Ferreyra (1990)
Studia Mathematica
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A sharp estimate for the Hardy-Littlewood maximal function
Loukas Grafakos, Stephen Montgomery-Smith, Olexei Motrunich (1999)
Studia Mathematica
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The best constant in the usual norm inequality for the centered Hardy-Littlewood maximal function on is obtained for the class of all “peak-shaped” functions. A function on the line is called peak-shaped if it is positive and convex except at one point. The techniques we use include variational methods.
Two-weight norm inequalities for the Hardy-Little-wood maximal function for one-parameter rectangles
Oscar Salinas (1991)
Studia Mathematica
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Factorization and extrapolation of pairs of weights
Eugenio Hernández (1989)
Studia Mathematica
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An addition to factorization of inequalities.
Leindler, László (1999)
Mathematica Pannonica
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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.