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Elementary Tauberian Theorems For Regular Linear Operators

M. Vuileumier (1975)

Publications de l'Institut Mathématique

Elementary Tauberian theorems for regular linear operators.

M. Vuilleumier (1974)

Publications de l'Institut Mathématique [Elektronische Ressource]

Elliptic regularity and essential self-adjointness of Dirichlet operators on $ℝ^{n}$

Vladimir I. Bogachev, Nicolai V. Krylov, Michael Röckner (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Embedding theorems for Müntz spaces

Isabelle Chalendar, Emmanuel Fricain, Dan Timotin (2011)

Annales de l’institut Fourier

We discuss boundedness and compactness properties of the embedding $M_{Λ}^{1} \subset L^{1} (μ)$ , where $M_{Λ}^{1}$ is the closed linear span of the monomials $x^{λ_{n}}$ in $L^{1} ([0, 1])$ and $μ$ is a finite positive Borel measure on the interval $[0, 1]$ . 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 $Λ$ . Finally, we show how one can recapture some of Al Alam’s results on boundedness and the essential norm of weighted composition operators from $M_{Λ}^{1}$ ...

Endpoint estimates for a class of Littlewood--Paley operators with nondoubling measures.

Xue, Qingying, Zhang, Juyang (2009)

Journal of Inequalities and Applications [electronic only]

Endpoint estimates for multilinear commutator of Marcinkiewicz operator

Yu Wenxin, Liu Lanzhe (2008)

Kragujevac Journal of Mathematics

Enflo operators of $L^{1}$

T. Starbird (1975/1976)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Entropy and approximation numbers of embeddings between weighted Besov spaces

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 $t r_{Γ} : B_{p ₁, q}^{s} (ℝ ⁿ, w_{ϰ}^{Γ}) \to L_{p ₂} (Γ)$ , where Γ is a d-set with 0 < d < n and $w_{ϰ}^{Γ}$ a weight of type $w_{ϰ}^{Γ} (x) d i s t {(x, Γ)}^{ϰ}$ near Γ with ϰ > -(n-d). There are parallel results for approximation numbers.

Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, I.

Dorothee D. Haroske, Leszek Skrzypczak (2008)

Revista Matemática Complutense

Entropy and Eigenvalues of Certain Integral Operators.

Bernd Carl, Thomas Kühn (1984)

Mathematische Annalen

Entropy and n-widths of operators in Banach spaces

Bernd Carl (1989)

Banach Center Publications

Entropy numbers of certain summation operators.

Creutzig, J., Linde, W. (2001)

Georgian Mathematical Journal

Entropy numbers of diagonal operators of logarithmic type.

Kühn, Thomas (2001)

Georgian Mathematical Journal

Entropy numbers of embeddings between logarithmic Sobolev spaces.

Caetano, A.M. (2000)

Portugaliae Mathematica

Entropy numbers of general diagonal operators.

Thomas Kühn (2005)