dc.contributor.author |
Taha, Hala Hussein Mohammed |
|
dc.date.accessioned |
2013-11-10T09:37:53Z |
|
dc.date.available |
2013-11-10T09:37:53Z |
|
dc.date.issued |
2011-11-01 |
|
dc.identifier.citation |
Taha,Hala Hussein Mohammed.estimates of Cauchy transform with function Ornstien –Uhlenbeck operator/Hala Hussein Mohammed Taha;Shawgy Hussein Abdalla.-Khartoum:Sudan University Of Science And Technology,College of Science,2011.-315p. : ill. ; 28cm.-PhD. |
en_US |
dc.identifier.uri |
http://hdl.handle.net/123456789/2138 |
|
dc.description |
Thesis |
en_US |
dc.description.abstract |
We study the Lebesgue space affine isoperimetric inequalities which deal with the inequalities for centroid and projection bodies . we prove the volume inequalities for subspaces of the Lebesgue space and duality of the Lebesgue space affine isoperimetric inequalities.
We establish the functional calculus for Ornstein – Uhlenbeck operator and the Fourier integral operators on noncompact symmetric spaces of real rank equal one. The affine and sharp Sobolev inequality and isoperimetric inequalities split twice are considered . We show the weighted norm inequalities and the harmonic analysis of elliptic operators.
We investigate the good and Calderion –Zygmund methods .We give some properties of the Cauchy transform on a bounded domain and show the best possible estimates of the second term in the spectral asymptotic of Cauchy transform .
We discum the holomorphy of the spectral multipliers and bounded mean oscillation with atomic Hardy space of the Ornstein – Uhlenbeck operator |
en_US |
dc.description.sponsorship |
Sudan University Of Science And Technology |
en_US |
dc.language.iso |
en |
en_US |
dc.subject |
Transformation |
en_US |
dc.title |
estimates of Cauchy transform with function Ornstien –Uhlenbeck operator |
en_US |
dc.type |
Thesis |
en_US |