Trigonometric Quasi-Greedy Bases for $L^p(T;w)$
Copyright policy ) Nielsen, Morten;
Trigonometric Quasi-Greedy Bases for $L^p(T;w)$
We give a complete characterization of $2��$-periodic weights $w$ for which the usual trigonometric system forms a quasi-greedy basis for $L^p(\bT;w)$, i.e., bases for which simple thresholding approximants converge in norm. The characterization implies that this can happen only for $p=2$ and whenever the system forms a quasi-greedy basis, the basis must actually be a Riesz basis.
8 pages
Denmark
- Aalborg University Denmark
- Aalborg University Library (AUB) Denmark
Mathematics - Functional Analysis, 42C15, Schauder basis, FOS: Mathematics, Quasi-greedy basis, trigonometric system, Functional Analysis (math.FA)
Mathematics - Functional Analysis, 42C15, Schauder basis, FOS: Mathematics, Quasi-greedy basis, trigonometric system, Functional Analysis (math.FA)
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).4 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).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
selected citations
Citations provided by BIP!
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).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 4
Average
Average
Average
Green
hybrid
Fields of Science
Related to Research communities