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Functions of continuous Ces\'aro operators

math.FA · 2024-11-23 · conditional · novelty 6.0

Holomorphic functions of the continuous Cesàro operator in L2 are Hausdorff operators with a Mellin-transform certificate, and its fractional powers are Hölder means.

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  • Functions of continuous Ces\'aro operators math.FA · 2024-11-23 · conditional · none · ref 2

    Holomorphic functions of the continuous Cesàro operator in L2 are Hausdorff operators with a Mellin-transform certificate, and its fractional powers are Hölder means.