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Best Constants between Equivalent Norms in Lorentz Sequence Spaces
Joint Authors
Barza, S.
Marcoci, A. N.
Persson, Lars-Erik
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-15
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
We find the best constants in inequalities relating the standard norm, the dual norm, and the norm ∥x∥(p,s):=inf{∑k∥x(k)∥p,s}, where the infimum is taken over all finite representations x=∑kx(k) in the classical Lorentz sequence spaces.
A crucial point in this analysis is the concept of level sequence, which we introduce and discuss.
As an application, we derive the best constant in the triangle inequality for such spaces.
American Psychological Association (APA)
Barza, S.& Marcoci, A. N.& Persson, Lars-Erik. 2012. Best Constants between Equivalent Norms in Lorentz Sequence Spaces. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-492632
Modern Language Association (MLA)
Barza, S.…[et al.]. Best Constants between Equivalent Norms in Lorentz Sequence Spaces. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-492632
American Medical Association (AMA)
Barza, S.& Marcoci, A. N.& Persson, Lars-Erik. Best Constants between Equivalent Norms in Lorentz Sequence Spaces. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-492632
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492632