Abstract
It is shown that if 1 < p < ∞ and the Hardy operator T is viewed as a map from L p(a,b) to itself, then all strict s-numbers of T coincide and their asymptotic behaviour is determined. The cases p = 1 or require separate treatment and less is proved, but upper and lower estimates of the approximation numbers of T are obtained.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lang, J., Edmunds, D. (2011). Estimates of s-Numbers of Weighted Hardy Operators. In: Eigenvalues, Embeddings and Generalised Trigonometric Functions. Lecture Notes in Mathematics(), vol 2016. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18429-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-18429-1_6
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18267-9
Online ISBN: 978-3-642-18429-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)
