On Muckenhoupt and Sawyer conditions for maximal operators.
Y. Rakotondratsimba (1993)
Publicacions Matemàtiques
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Displaying similar documents to “Two weight norm inequality for the fractional maximal operator and the fractional integral operator.”
On Muckenhoupt and Sawyer conditions for maximal operators.
Weighted norm inequalities for maximal functions from the Muckenhoupt conditions.
Y. Rakotondratsimba (1994)
Publicacions Matemàtiques
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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.
A remark on Fefferman-Stein's inequalities.
Y. Rakotondratsimba (1998)
Collectanea Mathematica
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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.
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...
Weighted norm inequalities and Schur's Lemma
Michael Christ (1984)
Studia Mathematica
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Weighted estimates for classical integral operators
Kokilashvili, Vakhtang
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Boundedness of the Weyl fractional integral on one-sided weighted Lebesgue and Lipschitz spaces.
S. Ombrosi, L. de Rosa (2003)
Publicacions Matemàtiques
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On a Class of Fractional Type Integral Equations in Variable Exponent Spaces
Rafeiro, Humberto, Samko, Stefan (2007)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 45A05, 45B05, 45E05,45P05, 46E30 We obtain a criterion of Fredholmness and formula for the Fredholm index of a certain class of one-dimensional integral operators M with a weak singularity in the kernel, from the variable exponent Lebesgue space L^p(·) ([a, b], ?) to the Sobolev type space L^α,p(·) ([a, b], ?) of fractional smoothness. We also give formulas of closed form solutions ϕ ∈ L^p(·) of the 1st kind integral equation M0ϕ =...