Geodesic
A sharp rearrangement inequality for the fractional maximal operator
A. Cianchi   ;   ;   ;
Studia Mathematica, Tome 138 (2000) no. 3, pp. 277-284 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove a sharp pointwise estimate of the nonincreasing rearrangement of the fractional maximal function of ⨍, $M_{γ}⨍$, by an expression involving the nonincreasing rearrangement of ⨍. This estimate is used to obtain necessary and sufficient conditions for the boundedness of $M_γ$ between classical Lorentz spaces.
DOI : 10.4064/sm-138-3-277-284
Keywords: fractional maximal operator, nonincreasing rearrangement, classical Lorentz spaces, weighted norm inequalities 
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A. Cianchi;  ;  ;  . A sharp rearrangement inequality for the fractional maximal operator. Studia Mathematica, Tome 138 (2000) no. 3, pp. 277-284. doi: 10.4064/sm-138-3-277-284

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