dc.contributor.author |
Gdal, Jwahir Hussien |
|
dc.date.accessioned |
2013-12-26T09:52:56Z |
|
dc.date.available |
2013-12-26T09:52:56Z |
|
dc.date.issued |
2009-10-01 |
|
dc.identifier.citation |
Gdal,Jwahir Hussien .Littlewood- Paley operators Applied to the Dunkl operator on the Real line./Jwahir Hussien Gdal;Shawgy Hussien Abdalla.-Khartoum:Sudan University of Science and Technology,College of Science,2009.-264p. : ill. ; 28cm.-PhD. |
en_US |
dc.identifier.uri |
http://hdl.handle.net/123456789/2947 |
|
dc.description |
Thesis |
en_US |
dc.description.abstract |
We show a -Theorem for non-doubling measures and for the Cauchy integral. We study the elementary theorem of Paley- Wiener for the Dunkl transforms and the characterization of Besov spaces for the Dunkl operator on the real line. We discus the boundedness of Multilinear and bilinear littlewood- Paley operators and give sharp estimate for the bilinear operator and weighted inequalities for multilinear integral operators. We study the littlewood- Paley theory with non- doubling measures and the operators associated with the Dunkl operator on the real line. And also study the littlewood- Paley - function in the Dunkl analysis and give some remarks on the bilinear and weighted normed inequalities for littlewood- Paley theory and operators.
Finally we characterized the weighted end point estimates for multilinear littlewood- Paley operators. |
en_US |
dc.description.sponsorship |
Sudan University of Science and Technology |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Sudan University of Science and Technology |
en_US |
dc.subject |
Red Line |
en_US |
dc.title |
Littlewood- Paley operators Applied to the Dunkl operator on the Real line. |
en_US |
dc.type |
Thesis |
en_US |