An Interesting Class of Operators with unusual Schatten-von Neumann behavior

Details An Interesting Class of Operators with unusual Schatten-von Neumann behavior An Interesting Class of Operators with unusual Schatten-von Neumann behavior

2001-03-05

arxiv.org/abs/math/0103028v1

Mathematics

Functional Analysis

87 pages

Scientific paper

We consider the class of integral operators $Q_\f$ on $L^2(\R_+)$ of the form $(Q_\f f)(x)=\int_0^\be\f (\max\{x,y\})f(y)dy$. We discuss necessary and sufficient conditions on $\phi$ to insure that $Q_{\phi}$ is bounded, compact, or in the Schatten-von Neumann class $\bS_p$, $1

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