Ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces
Commentationes Mathematicae Universitatis Carolinae (2011)
- Volume: 52, Issue: 1, page 77-88
- ISSN: 0010-2628
Access Full Article
topAbstract
topHow to cite
topSato, Ryotaro. "Ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces." Commentationes Mathematicae Universitatis Carolinae 52.1 (2011): 77-88. <http://eudml.org/doc/246817>.
@article{Sato2011,
abstract = {We prove ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces.},
author = {Sato, Ryotaro},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ratio Tauberian theorem; $\gamma $-th order Cesàro integral; Laplace integral; $\gamma $-th order Cesàro sum; Abel sum; ratio Tauberian theorem; -th order Cesàro integral; Laplace integral; -th order Cesàro sum; Abel sum},
language = {eng},
number = {1},
pages = {77-88},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces},
url = {http://eudml.org/doc/246817},
volume = {52},
year = {2011},
}
TY - JOUR
AU - Sato, Ryotaro
TI - Ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 1
SP - 77
EP - 88
AB - We prove ratio Tauberian theorems for relatively bounded functions and sequences in Banach spaces.
LA - eng
KW - ratio Tauberian theorem; $\gamma $-th order Cesàro integral; Laplace integral; $\gamma $-th order Cesàro sum; Abel sum; ratio Tauberian theorem; -th order Cesàro integral; Laplace integral; -th order Cesàro sum; Abel sum
UR - http://eudml.org/doc/246817
ER -
References
top- Arendt W., Batty C.J.K., Hieber M., Neubrander F., Vector-valued Laplace Transforms and Cauchy Problems, Monographs in Mathematics Vol. 96, Birkhäuser, Basel, 2001. MR1886588
- Chen J.-C., Sato R., 10.1016/j.jmaa.2009.12.047, J. Math. Anal. Appl. 367 (2010), 108–115. Zbl1194.40004MR2600382DOI10.1016/j.jmaa.2009.12.047
- Chen J.-C., Sato R., Shaw S.-Y., Growth orders of Cesàro and Abel means of functions in Banach spaces, Taiwanese J. Math. 14 (2010), 1201–1248. MR2674604
- Emilion R., 10.1016/0022-1236(85)90037-0, J. Funct. Anal. 61 (1985), 1–14. Zbl0562.47007MR0779737DOI10.1016/0022-1236(85)90037-0
- Li Y.-C., Sato R., Shaw S.-Y., 10.1007/s11856-007-0091-x, Israel J. Math. 162 (2007), 109–149. Zbl1142.40002MR2365856DOI10.1007/s11856-007-0091-x
- Li Y.-C., Sato R., Shaw S.-Y., 10.1007/s11117-007-2085-7, Positivity 11 (2007), 433–447. Zbl1127.40003MR2336207DOI10.1007/s11117-007-2085-7
- Sato R., On means of Banach-space-valued functions, Math. J. Okayama Univ.(to appear).
- Widder D.V., An Introduction to Transform Theory, Academic Press, New York and London, 1971. Zbl0219.44001
- Zygmund A., Trigonometric Series. Vol. I, Cambridge University Press, Cambridge, 1959. Zbl0367.42001MR0107776
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.