31 мая 2017 г. · Since the composition of a compact operator with a continuous operator is compact the result follows by combining the embeddings in 1,2,3. Examples of spaces where the Sobolev spaces are relatively ... Sobolev space on a compact Riemannian manifold does not ... Weak compactness of Sobolev spaces - Math Stack Exchange Some questions in the compactness of Sobolev space and ... Другие результаты с сайта math.stackexchange.com

In mathematics, the Rellich–Kondrachov theorem is a compact embedding theorem concerning Sobolev spaces. It is named after the Austrian-German mathematician ...

14 июн. 2024 г. · This paper deals with a class of Sobolev spaces of vector-valued functions on a compact group. Some Sobolev embedding theorems are proved.

25 июн. 2021 г. · To resume, we have defined Sobolev spaces on manifold with boundary as the space of currents whose cut-off restrictions on each chart are in W^{ ...

A Sobolev space is a vector space of functions equipped with a norm that is a combination of L p -norms of the function together with its derivatives up to a ... Sobolev spaces with integer k · Extension operators

We show compact embedding of H-invariant Sobolev spaces, where H is a subgroup of all isometries preserving the measure on the metric measure space. 1.

In this note, we introduce Sobolev spaces over (not necessarily abelian) compact groups and study their properties. In particular, we focus on Sobolev ...

Then, embedding (2) from Introduction is compact. Proof. By Corollary 2.2 and the Marcinkiewicz interpolation theorem (see 11]),. "Ai|Lp v(G) ...

We prove that in the presence of the ∆2 condition the com- pact embedding of the Orlicz-Sobolev space is equivalent to the existence of a bounded embedding into ...

2 мар. 2017 г. · Compact embedding of space of signed Radon measures into Sobolev space W−1,q from Evans paper; Does it work in one space dimension?