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DC Field | Value | Language |
---|---|---|
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 |
Appears in Collections: | Thesis |
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