Geodesic
A note on an integral operator induced by Zygmund function
Filomat, Tome 37 (2023) no. 3, p. 789

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DOI

In this note, by means of a kernel function induced by a continuous function f on the unit circle, we show that corresponding integral operator on Banach space A P is bounded or compact precisely when f belongs to the big Zygmund class Λ * or the little Zygmund class λ * , where A P consists of all holomorphic functions ϕ on C\S 1 with the finite corresponding norm. This generalizes the result in Hu, Song, Wei and Shen (2013) [5] and meanwhile may be considered as the infinitesimal version of main result obtained in Tang and Wu (2019) [8].
DOI : 10.2298/FIL2303789C
Classification : 30C62
Keywords: Integral operator, Zygmund function, Kernel function, Quasiconformal deformation 
Fangming Cai; Qin Zhang. A note on an integral operator induced by Zygmund function. Filomat, Tome 37 (2023) no. 3, p. 789 . doi: 10.2298/FIL2303789C
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     title = {A note on an integral operator induced by {Zygmund} function},
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     year = {2023},
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     doi = {10.2298/FIL2303789C},
     language = {en},
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