Tohoku Mathematical Journal
2015
March
SECOND SERIES VOL. 67, NO. 1

Tohoku Math. J.
67 (2015), 125-135

Title ON THE $r$-NUCLEARITY OF SOME INTEGRAL OPERATORS ON LEBESGUE SPACES

Author Julio Delgado

(Received September 20, 2013, revised February 14, 2014)
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.

Mathematics Subject Classification. Primary 47B35; Secondary 47C05, 47B06, 45C05.
Key words and phrases. $r$-nuclear operators, Schatten-von Neumann ideals, trace formula, distribution of eigenvalues, Fox-Li operator.

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