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We establish continuity and Schatten-von Neumann properties for matrixoperators with matrices satisfying mixed quasi-norm estimates. Theseconsiderations also include the case when the Lebesgue and Schatten parametersare allowed to stay between $0$ and $1$. We use the results to deducecontinuity and Schatten-von Neumann properties for pseudo-differentialoperators with symbols in a broad class of modulation spaces.

Continuity and Schatten properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces or H\"ormander classes