Limiting Reiteration For Real Interpolation And Optimal Sobolev Embeddings

Irshaad, Ahmed (2011) Limiting Reiteration For Real Interpolation And Optimal Sobolev Embeddings. Doctoral thesis, gc university lahore.

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Abstract

Firstly, sharp reiteration theorems for the Kinterpolation method in limitincases are proved using two-sided estimates of the functional. As an application, sharp mapping properties of the Riesz potential are derived in a limiting case. Secondly, we prove optimal embeddings ofhomogeneous Sobolev spaces built-up over function spaces in Rn withmonotone 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.

Item Type: Thesis (Doctoral)
Uncontrolled Keywords: (Extracted from title, table of contents and abstract of thesis)
Subjects: Q Science > QA Mathematics
Depositing User: Unnamed user with email jmemon@hec.gov.pk
Date Deposited: 16 Aug 2017 09:50
Last Modified: 16 Aug 2017 09:50
URI: http://eprints.hec.gov.pk/id/eprint/5049

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