The measure of noncompactness of Sobolev embeddings

Name: The measure of noncompactness of Sobolev embeddings
Creator: Yerzakova, Nina A.
Keywords: bounded linear operator, semi-Fredholm, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., (Semi-) Fredholm operators; index theories, 0101 mathematics, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 01 natural sciences

Yerzakova, Nina A.

Found an issue? Give us feedback

Integral Equations a...arrow_drop_down

Integral Equations and Operator Theory

Article . 1994 . Peer-reviewed

License: Springer TDM

Data sources: Crossref

zbMATH Open

Article . 1994

Data sources: zbMATH Open

https://dx.doi.org/10.1007/bf0...

Article

Data sources: Microsoft Academic Graph

The measure of noncompactness of Sobolev embeddings

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1994 English Publisher:Springer Science and Business Media LLCJournal:Integral Equations and Operator Theory, volume 19, pages 349-359 (issn: 0378-620X, eissn: 1420-8989,

Copyright policy )

Authors: Yerzakova, Nina A.;

doi: 10.1007/bf01203670

The measure of noncompactness of Sobolev embeddings

- Summary
- Subjects
- Metrics

Abstract

The author gives new formulas for the upper \(q\)-norm of the embedding \(I: W^ k_ p(Q)\to L_ q(Q)\) \((Q\subset \mathbb{R}^ n)\). She also proves necessary and sufficient conditions for a bounded linear operator to be semi-Fredholm.

Related Organizations

University of Technology
Russian Federation

Keywords

bounded linear operator, semi-Fredholm, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., (Semi-) Fredholm operators; index theories, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average