Two weight norm inequality for the fractional maximal operator and the fractional integral operator

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Data:	1998
Resum:	New su±cient conditions on the weight functions u(:) and v(:) are given in order that the fractional maximal [resp. integral] operator Ms [resp. Is], 0 · s < n, [resp. 0 < s < n] sends the weighted Lebesgue space Lp(v(x) dx) into Lp(u(x)dx), 1 < p < 1. As a consequence a characterization for this estimate is obtained whenever the weight functions are radial monotone.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Publicat a:	Publicacions matemàtiques, V. 42 n. 1 (1998) p. 81-101, ISSN 2014-4350

$Two weight norm inequality for the fractional maximal operator and the fractional integral operator$

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