Home > Articles > Published articles > Two weight norm inequality for the fractional maximal operator and the fractional integral operator |
Date: | 1998 |
Abstract: | 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. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Published in: | Publicacions matemàtiques, V. 42 n. 1 (1998) p. 81-101, ISSN 2014-4350 |
21 p, 225.6 KB |