Ahmed, Irshaad (2011) Limiting Reiteration For Real Interpolation And Optimal Sobolev Embeddings. PhD thesis, Govt. College University, Lahore .
Firstly, sharp reiteration theorems for the Kinterpolation method in limiting cases are proved using two-sided estimates of the Kfunctional. 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 Rn with Kmonotone 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 (PhD)|
|Uncontrolled Keywords:||Mapping, Real, Theorems, Limiting, Embeddings, Rearrangement, Sobolev, Derivatives, Interpolation, Reiteration|
|Subjects:||Physical Sciences (f) > Mathematics(f5)|
|Deposited By:||Mr. Javed Memon|
|Deposited On:||27 Dec 2011 09:00|
|Last Modified:||27 Dec 2011 09:00|
Repository Staff Only: item control page