Entropy numbers of bilinear operators and related classes of type ℓ,

2021 ◽  
Vol 497 (1) ◽  
pp. 124862
Author(s):  
Dicesar Lass Fernandez ◽  
Eduardo Brandani da Silva
Keyword(s):  
Entropy Numbers ◽  
Bilinear Operators

Entropy numbers of embedding maps between Besov spaces with an application to eigenvalue problems

1981 ◽  
Vol 90 (1-2) ◽  
pp. 63-70 ◽  
Author(s):  
Bernd Carl
Keyword(s):  
Banach Space ◽  
Asymptotic Behaviour ◽  
Besov Spaces ◽  
Eigenvalue Problems ◽  
Function Spaces ◽  
Sequence Spaces ◽  
Entropy Numbers ◽  
Diagonal Operators

SynopsisIn this paper we determine the asymptotic behaviour of entropy numbers of embedding maps between Besov sequence spaces and Besov function spaces. The results extend those of M. Š. Birman, M. Z. Solomjak and H. Triebel originally formulated in the language of ε-entropy. It turns out that the characterization of embedding maps between Besov spaces by entropy numbers can be reduced to the characterization of certain diagonal operators by their entropy numbers.Finally, the entropy numbers are applied to the study of eigenvalues of operators acting on a Banach space which admit a factorization through embedding maps between Besov spaces.The statements of this paper are obtained by results recently proved elsewhere by the author.

scholarly journals Nonperturbative renormalization of bilinear operators with dynamical overlap fermions

2010 ◽  
Vol 81 (3) ◽  
Author(s):  
J. Noaki ◽  
T. W. Chiu ◽  
H. Fukaya ◽  
S. Hashimoto ◽  
H. Matsufuru ◽  
...  
Keyword(s):  
Bilinear Operators ◽  
Nonperturbative Renormalization

More on the duality conjecture for entropy numbers

2003 ◽  
Vol 336 (6) ◽  
pp. 479-482 ◽  
Author(s):  
Shiri Artstein ◽  
Vitali D Milman ◽  
Stanislaw J Szarek
Keyword(s):  
Entropy Numbers

scholarly journals Asymptotic Behavior of Singular and Entropy Numbers for Some Riemann–Liouville Type Operators

2001 ◽  
Vol 8 (2) ◽  
pp. 323-332
Author(s):  
A. Meskhi
Keyword(s):  
Asymptotic Behavior ◽  
Integral Operators ◽  
Integral Transforms ◽  
Singular Value ◽  
Entropy Numbers ◽  
Liouville Type ◽  
Singular Value Decompositions

Abstract The asymptotic behavior of the singular and entropy numbers is established for the Erdelyi–Köber and Hadamard integral operators (see, e.g., [Samko, Kilbas and Marichev, Integrals and derivatives. Theoryand Applications, Gordon and Breach Science Publishers, 1993]) acting in weighted L 2 spaces. In some cases singular value decompositions are obtained as well for these integral transforms.

scholarly journals Weighted Estimates for Bilinear Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Hua Zhu ◽  
Heping Liu
Keyword(s):  
Schrödinger Operator ◽  
Multilinear Operators ◽  
Schrodinger Operator ◽  
Weighted Estimates ◽  
Bilinear Operators ◽  
By Products

We study the boundedness of weighted multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We also investigate weighted estimates for bilinear operators related to Schrödinger operator.

scholarly journals One loop matching factors for staggered bilinear operators with improved glue

2010 ◽  
Author(s):  
Jongjeong Kim ◽  
Weonjong Lee ◽  
Stephen R. Sharpe
Keyword(s):  
Bilinear Operators
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