Browsing by Author "Curbera, Guillermo P."

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Convolution in Dual Cesàro Sequence Spaces

[OWP-2022-20] Curbera, Guillermo P.; Ricker, Werner J. (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-16)

We investigate convolution operators in the sequence spaces $d_p$ , for 1 $\leqslant p<\infty$ . These spaces, for $p$ > 1, arise as dual spaces of the Cesàro sequence spaces $ces_p$ thoroughly investigated by G. Bennett. A ...
Solid extensions of the Cesàro operator on the Hardy space H2(D)

[OWP-2013-11] Curbera, Guillermo P.; Ricker, Werner J. (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-23)

We introduce and study the largest Banach space of analytic functions on the unit disc which is solid for the coefficient-wise order and to which the classical Ces`aro operator $\mathcal{C}:H^2 \to H^2$ can be continuously ...