Eigenvalue decay rates for positive integral operators

Ferreira, J. C.; Menegatto, V. A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Eigenvalue decay rates for positive integral operators

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Author(s):	Ferreira, J. C. ^[1] ; Menegatto, V. A. ^[2] Total Authors: 2
Affiliation:	^[1] ICEx UNIFAL MG, Alfenas, MG - Brazil ^[2] ICMC USP, Sao Carlos, SP - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Annali di Matematica Pura ed Applicata; v. 192, n. 6, p. 1025-1041, DEC 2013.
Web of Science Citations:	3
Abstract
We present decay rates for the eigenvalues of positive integral operators with smooth kernels on special metric spaces endowed with a strictly positive measure. The smoothness is defined by either differentiability conditions or inequalities of Lipschitz type. We use the decay rates to place the operators in some Schatten p-classes. (AU)

FAPESP's process:	10/19734-6 - Analysis of integral operators generated by positive definite kernels
Grantee:	Valdir Antonio Menegatto
Support Opportunities:	Regular Research Grants

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