Fourier Transform Inequalities with Measure Weights.
| dc.contributor.author | Benedetto, John J. | en_US |
| dc.contributor.author | Heinig, Hans | en_US |
| dc.contributor.department | ISR | en_US |
| dc.date.accessioned | 2007-05-23T09:40:54Z | |
| dc.date.available | 2007-05-23T09:40:54Z | |
| dc.date.issued | 1988 | en_US |
| dc.description.abstract | Fourier transform norm inequalities, ||f^||_(q,u) <= C||f^||_(p, v'). are proved for measure weights MU on moment subspaces of L{^P AND {SUB V}}V(R^n).Density theorems are established to extend the inequalities to all of L{^P and {SUB V}}(R^n). In both cases the conditions for validity are computable. For n > 2,MU and v are radial, and the results are applied to prove spherical restriction theorems which include power weights v(t) = |t|^ALPHA,n/(p' - 1) < ALPHA < (p' + n)/(p' - 1). | en_US |
| dc.format.extent | 1195629 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/4750 | |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | ISR; TR 1988-17 | en_US |
| dc.title | Fourier Transform Inequalities with Measure Weights. | en_US |
| dc.type | Technical Report | en_US |
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