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http://142.54.178.187:9060/xmlui/handle/123456789/12105
Title: | LIMITING REITERATION FOR REAL INTERPOLATION AND OPTIMAL SOBOLEV EMBEDDINGS |
Authors: | AHMED, IRSHAAD |
Keywords: | Natural Sciences |
Issue Date: | 2006 |
Publisher: | GC University Lahore, Pakistan |
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 . |
URI: | http://142.54.178.187:9060/xmlui/handle/123456789/12105 |
Appears in Collections: | Thesis |
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