The optimal range of the Calderòn operator and its applications

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The optimal range of the Calderòn operator and its applications

Sukochev, F.; Tulenov, K.; Zanin, D.

Journal of functional analysis, 11/2019, Volume: 277, Issue: 10

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We identify the optimal range of the Calderòn operator and that of the classical Hilbert transform in the class of symmetric quasi-Banach spaces. Further consequences of our approach concern the optimal range of the triangular truncation operator, operator Lipschitz functions and commutator estimates in ideals of compact operators.

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Sukochev, F. | Tulenov, K. | Zanin, D.

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