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Cesáro-like operators on the Hardy and Bergman spaces of the half plane

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dc.contributor.author S Ballamoole, JO Bonyo, TL Miller, VG Miller
dc.date.accessioned 2020-08-17T07:31:29Z
dc.date.available 2020-08-17T07:31:29Z
dc.date.issued 2016-01-01
dc.identifier.uri https://repository.maseno.ac.ke/handle/123456789/2136
dc.description Can be found thro URI https://doi.org/10.1007/s11785-015-0481-8 en_US
dc.description.abstract We construct integral operators associated with strongly continuous groups of invertible isometries on the Hardy spaces and the weighted Bergman spaces of the upper half plane. Specifically, we obtain the spectrum and point spectrum of the generator and represent resolvents as integral operators related to the Cesàro operator investigated by Arvanitidis and Siskakis C1f(z):=1z∫z0f(ζ)dζ on the Hardy Spaces Hp(U),p>1, Arvanitidis and Siskakis (Can Math Bull 153:1–12, 2011). en_US
dc.publisher Springer International Publishing en_US
dc.subject One-parameter operator group Spectrum Resolvent Compact operator en_US
dc.title Cesáro-like operators on the Hardy and Bergman spaces of the half plane en_US
dc.type Article en_US


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