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

Files

Now showing 1 - 1 of 1