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2015 On the $r$-nuclearity of some integral operators on Lebesgue spaces
Julio Delgado
Tohoku Math. J. (2) 67(1): 125-135 (2015). DOI: 10.2748/tmj/1429549582

Abstract

In this paper we will exhibit a class of kernels generating $r$-nuclear operators. The class includes the Fox-Li and related operators. Estimates for the corresponding asymptotic behaviour of the eigenvalues are also derived.

Citation

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Julio Delgado. "On the $r$-nuclearity of some integral operators on Lebesgue spaces." Tohoku Math. J. (2) 67 (1) 125 - 135, 2015. https://doi.org/10.2748/tmj/1429549582

Information

Published: 2015
First available in Project Euclid: 20 April 2015

zbMATH: 1372.47030
MathSciNet: MR3337966
Digital Object Identifier: 10.2748/tmj/1429549582

Subjects:
Primary: 47B35
Secondary: 45C05‎ , 47B06 , 47C05

Keywords: $r$-nuclear operators , distribution of eigenvalues , Fox-Li operator , Schatten-von Neumann ideals , trace formula

Rights: Copyright © 2015 Tohoku University

Vol.67 • No. 1 • 2015
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