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- W4313406761 abstract "Let ϕ be an analytic self-map of the open unit disk D and g analytic in D. We characterize boundedness and compactness of generalized Volterra type integral operatorsGI(ϕ,g)f(z)=∫0zf′(ϕ(ξ))g(ξ)dξ andGV(ϕ,g)f(z)=∫0zf(ϕ(ξ))g(ξ)dξ, acting between large Bergman spaces Aωp and Aωq for 0<p,q≤∞. To prove our characterizations, which involve Berezin type integral transforms, we use the Littlewood-Paley formula of Constantin and Peláez and establish corresponding embedding theorems, which are also of independent interest. When ϕ(z)=z, our results for GV(ϕ,g) complement the descriptions of Pau and Peláez." @default.
- W4313406761 created "2023-01-06" @default.
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- W4313406761 date "2023-02-01" @default.
- W4313406761 modified "2023-09-27" @default.
- W4313406761 title "Generalized Volterra type integral operators on large Bergman spaces" @default.
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- W4313406761 doi "https://doi.org/10.1016/j.bulsci.2022.103226" @default.
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