Integration Operator Acting on Hardy and Weighted Bergman Spaces

DOI10.1017/S0004972700039356zbMath1197.30018OpenAlexW2171043489MaRDI QIDQ5297705

Jouni Rättyä

Publication date: 12 July 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700039356

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Related Items (16)

Maximal estimate and integral operators in Bergman spaces with doubling measure ⋮ The spectrum of Volterra-type integration operators on generalized Fock spaces ⋮ Spectra of integration operators on weighted Bergman spaces ⋮ Volterra type integration operators from Bergman spaces to Hardy spaces ⋮ Volterra-type integration operators between weighted Bergman spaces and Hardy spaces ⋮ Some operator ideal properties of Volterra operators on Bergman and Bloch spaces ⋮ Essential norms and weak compactness of integration operators ⋮ Essential norms of integral operators on spaces of analytic functions ⋮ Carleson measures and a class of generalized integration operators on the Bergman space ⋮ ESSENTIAL NORM OF EXTENDED CESÀRO OPERATORS FROM ONE BERGMAN SPACE TO ANOTHER ⋮ Embedding theorems and integration operators on Bergman spaces with rapidly decreasing weights ⋮ Multipliers for Dirichlet type spaces by randomization ⋮ A Volterra-type integration operator on Fock spaces ⋮ Resolvent estimates and decomposable extensions of generalized Cesàro operators ⋮ Volterra operators between limits of Bergman-type weighted spaces of analytic functions ⋮ Path connectedness of Volterra type integral operators on Bergman and Dirichlet type spaces

Cites Work

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• Translating Inequalities between Hardy and Bergman Spaces
• A Sharp Estimate for A p α Functions in C n
• An Integral Operator on H^p
• Extension of a theorem of Carleson

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