On asymptotic behavior of fractional Cauchy transform
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DOI: 10.1007/s13324-019-00317-7
Abstract: We study non-regularity of growth of the fractional Cauchy transform $$\begin{aligned} f(z)=\int _{-\pi }^{\pi } \frac{d\psi (t)}{(1-ze^{-it})^\alpha }, \quad \alpha >0, \psi \in BV[-\pi ,\pi ], \end{aligned}$$f(z)=∫-ππdψ(t)(1-ze-it)α,α>0,ψ∈BV[-π,π],in terms of the modulus of continuity of the… read more here.
Keywords: asymptotic behavior; fractional cauchy; cauchy transform; behavior fractional ... See more keywords