Author:
Arvanitidis Athanasios G.,Siskakis Aristomenis G.
Abstract
AbstractIn this article we study the Cesàro operatorand its companion operator 𝒯 on Hardy spaces of the upper half plane. We identify 𝒞 and 𝒯 as resolvents for appropriate semigroups of composition operators and we find the norm and the spectrum in each case. The relation of 𝒞 and 𝒯 with the corresponding Cesàro operators on Lebesgue spaces Lp(ℝ) of the boundary line is also discussed.
Publisher
Canadian Mathematical Society
Cited by
14 articles.
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