Journal
FILOMAT
Volume 37, Issue 3, Pages 789-796Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2303789C
Keywords
Integral operator; Zygmund function; Kernel function; Quasiconformal deformation
Categories
Ask authors/readers for more resources
In this note, the author demonstrates that the integral operator on Banach space AP is bounded or compact depending on whether the continuous function f belongs to the big Zygmund class ?* or the little Zygmund class lambda*. This finding generalizes previous research and serves as the infinitesimal version of another main result.
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 AP is bounded or compact precisely when f belongs to the big Zygmund class ?* or the little Zygmund class lambda*, where AP consists of all holomorphic functions phi on C\S1 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].
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available