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Please use this identifier to cite or link to this item: 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
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