| dc.contributor.author | Reguera Rodriguez, Maria del Carmen | en_US |
| dc.date.accessioned | 2011-07-06T16:42:01Z | |
| dc.date.available | 2011-07-06T16:42:01Z | |
| dc.date.issued | 2011-03-18 | en_US |
| dc.identifier.uri | http://hdl.handle.net/1853/39522 | |
| dc.description.abstract | The thesis provides answers, in one case partial and in the other final, to two conjectures in the area of weighted inequalities for Singular Integral Operators. We study the mapping properties of these operators in weighted Lebesgue spaces with weight w. The novelty of this thesis resides in proving sharp dependence of the operator norm on the Muckenhoupt constant associated to the weigth w for a rich class of Singular Integral operators. The thesis also addresses the end point case p=1, providing counterexamples for the dyadic and continuous settings. | en_US |
| dc.publisher | Georgia Institute of Technology | en_US |
| dc.subject | Singular integrals | en_US |
| dc.subject | A p weights | en_US |
| dc.subject | Calderon-Zygmund operators | en_US |
| dc.subject | Muckenhoupt-Wheeden conjecture | en_US |
| dc.subject | A 2 conjecture | en_US |
| dc.subject | Sharp estimates | en_US |
| dc.subject.lcsh | Integral operators | |
| dc.subject.lcsh | Prediction (Logic) | |
| dc.title | Sharp weighted estimates for singular integral operators | en_US |
| dc.type | Dissertation | en_US |
| dc.description.degree | Ph.D. | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.description.advisor | Committee Chair: Lacey, Michael T.; Committee Member: Geronimo, Jeffrey S.; Committee Member: Lubinsky, Doron S.; Committee Member: Uriarte Tuero, Ignacio; Committee Member: Wick, Brett D. | en_US |
