Extremality, symmetry and regularity issues in harmonic analysis
| dc.contributor.advisor | Beckner, William | en |
| dc.creator | Carneiro, Emanuel Augusto de Souza | en |
| dc.date.accessioned | 2010-05-26T18:54:24Z | en |
| dc.date.accessioned | 2017-05-11T22:19:48Z | |
| dc.date.available | 2010-05-26T18:54:24Z | en |
| dc.date.available | 2017-05-11T22:19:48Z | |
| dc.date.issued | 2009-05 | en |
| dc.description | text | en |
| dc.description.abstract | In this Ph. D. thesis we discuss four different problems in analysis: (a) sharp inequalities related to the restriction phenomena for the Fourier transform, with emphasis on some Strichartz-type estimates; (b) extremal approximations of exponential type for the Gaussian and for a class of even functions, with applications to analytic number theory; (c) radial symmetrization approach to convolution-like inequalities for the Boltzmann collision operator; (d) regularity of maximal operators with respect to weak derivatives and weak continuity. | en |
| dc.description.department | Mathematics | en |
| dc.format.medium | electronic | en |
| dc.identifier.uri | http://hdl.handle.net/2152/7474 | en |
| dc.language.iso | eng | en |
| dc.rights | Copyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works. | en |
| dc.subject | Harmonic analysis | en |
| dc.subject | Sharp Strichartz inequalities | en |
| dc.subject | Extremal approximations | en |
| dc.subject | Radial symmetrization | en |
| dc.subject | Boltzmann collision operator | en |
| dc.subject | Convolution inequalities | en |
| dc.subject | Maximal operators regularity | en |
| dc.title | Extremality, symmetry and regularity issues in harmonic analysis | en |