Browsing 2022 by MSC "46"

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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 ...
Coorbit Spaces and Dual Molecules: the Quasi-Banach Case

[OWP-2022-08] Van Velthoven, Jordy Timo; Voigtlaender, Felix (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-27)

This paper provides a self-contained exposition of coorbit spaces associated with integrable group representations and quasi-Banach function spaces. It extends the theory in [Studia Math., 180(3):237–253, 2007] to locally ...