dc.contributor.author |
AHMED, IRSHAAD |
|
dc.date.accessioned |
2017-12-11T05:46:19Z |
|
dc.date.accessioned |
2020-04-15T05:41:38Z |
|
dc.date.available |
2020-04-15T05:41:38Z |
|
dc.date.issued |
2006 |
|
dc.identifier.uri |
http://142.54.178.187:9060/xmlui/handle/123456789/12105 |
|
dc.description.abstract |
Firstly, sharp reiteration theorems for the K−interpolation method in limiting cases
are proved using two-sided estimates of the K−functional. As an application, sharp
mapping properties of the Riesz potential are derived in a limiting case. Secondly, we
prove optimal embeddings of the homogeneous Sobolev spaces built-up over function
spaces in R n with K−monotone and rearrangement invariant norm into another
rearrangement invariant function spaces. The investigation is based on pointwise and
integral estimates of the rearrangement or the oscillation of the rearrangement of f
in terms of the rearrangement of the derivatives of f . |
en_US |
dc.description.sponsorship |
Higher Education Commission, Pakistan |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
GC University Lahore, Pakistan |
en_US |
dc.subject |
Natural Sciences |
en_US |
dc.title |
LIMITING REITERATION FOR REAL INTERPOLATION AND OPTIMAL SOBOLEV EMBEDDINGS |
en_US |
dc.type |
Thesis |
en_US |