Elementary Tauberian Theorems For Regular Linear Operators
M. Vuileumier (1975)
Publications de l'Institut Mathématique
M. Vuilleumier (1974)
Publications de l'Institut Mathématique [Elektronische Ressource]
Vladimir I. Bogachev, Nicolai V. Krylov, Michael Röckner (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Isabelle Chalendar, Emmanuel Fricain, Dan Timotin (2011)
Annales de l’institut Fourier
We discuss boundedness and compactness properties of the embedding , where is the closed linear span of the monomials in and is a finite positive Borel measure on the interval . In particular, we introduce a class of “sublinear” measures and provide a rather complete solution of the embedding problem for the class of quasilacunary sequences . Finally, we show how one can recapture some of Al Alam’s results on boundedness and the essential norm of weighted composition operators from ...
Xue, Qingying, Zhang, Juyang (2009)
Journal of Inequalities and Applications [electronic only]
Yu Wenxin, Liu Lanzhe (2008)
Kragujevac Journal of Mathematics
T. Starbird (1975/1976)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Iwona Piotrowska (2008)
Banach Center Publications
The present paper is devoted to the study of the “quality” of the compactness of the trace operator. More precisely, we characterize the asymptotic behaviour of entropy numbers of the compact map , where Γ is a d-set with 0 < d < n and a weight of type near Γ with ϰ > -(n-d). There are parallel results for approximation numbers.
Dorothee D. Haroske, Leszek Skrzypczak (2008)
Revista Matemática Complutense
Bernd Carl, Thomas Kühn (1984)
Mathematische Annalen
Bernd Carl (1989)
Banach Center Publications
Creutzig, J., Linde, W. (2001)
Georgian Mathematical Journal
Kühn, Thomas (2001)
Georgian Mathematical Journal
Caetano, A.M. (2000)
Portugaliae Mathematica
Thomas Kühn (2005)
Revista Matemática Complutense
We determine the asymptotic behavior of the entropy numbers of diagonal operators D: lp → lq, (xk) → (skxk), 0 < p,q ≤ ∞, under mild regularity and decay conditions on the generating sequence (σk). Our results extend the known estimates for polynomial and logarithmic diagonals (σk). Moreover, we also consider some exotic intermediate examples like (σk)=exp(-√log k).
Bernd Carl (1983)
Studia Mathematica
Thomas Kühn (1984)
Studia Mathematica
Carl, Bernd, Edmunds, David E. (2001)
Journal of Inequalities and Applications [electronic only]
G. Lumer (1976/1977)
Séminaire Équations aux dérivées partielles (Polytechnique)
Jörg Eschmeier (1983)
Mathematische Annalen