Function space properties of the Cauchy transform on the Sierpinski gasket

Function space properties of the Cauchy transform on the Sierpinski gasket

Let $ S_j(z) = \varepsilon_j +(z-\varepsilon_j)/2 $ be an iterated function system, where $ \varepsilon_j = e^{2j\pi i/3} $ for $ j = 0, 1, 2 $. Then, there exists a uniform self-similar measure $ \mu $ supported on a compact set $ K $, which is the attractor of $ \{S_j\}_{j = 0}^2 $. The Hausdorff...

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Bibliographic Details
Main Authors: Songran Wang, Zhinmin Wang
Format: Article
Language:English
Published: AIMS Press 2023-01-01
Series:AIMS Mathematics
Subjects:
cauchy transform
sierpinski gasket
self-similar measure
hardy space
multiplier
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023306?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2023306?viewType=HTML

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