A sharp higher order Sobolev embedding
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DOI: 10.1112/mtk.70012
Abstract: We obtain sharp embeddings from the Sobolev space W0k,2(−1,1)$W^{k,2}_0(-1,1)$ into the space L1(−1,1)$L^1(-1,1)$ and determine the extremal functions. This improves on a previous estimate of the sharp constants of these embeddings due to Kalyabin. read more here.
Keywords: sobolev embedding; higher order; order sobolev; sharp higher ... See more keywords