On Cauchy Integral Theorem for Quaternionic Slice Regular Functions
Sign Up to like & getrecommendations! Published in 2019 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-019-00913-2
Abstract: The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG coincides with the set of… read more here.
Keywords: regular functions; cauchy integral; integral theorem; quaternionic slice ... See more keywords
The Cauchy Integral Formula, Quadrature Domains, and Riemann Mapping Theorems
Sign Up to like & getrecommendations! Published in 2018 at "Computational Methods and Function Theory"
DOI: 10.1007/s40315-018-0246-2
Abstract: It is well known that a domain in the plane is a quadrature domain with respect to area measure if and only if the function z extends meromorphically to the double, and it is a… read more here.
Keywords: arc length; cauchy integral; integral formula; quadrature domains ... See more keywords
Cauchy integral commutators and Hardy factorization on Lorentz spaces
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.124926
Abstract: Abstract In this paper, we prove Lorentz boundedness and compactness characterization of Cauchy integral commutators. Furthermore, we also prove Hardy factorization theorems in Lorentz spaces. read more here.
Keywords: cauchy integral; integral commutators; hardy factorization; lorentz spaces ... See more keywords
The Cauchy integral formula and distributional integration
Sign Up to like & getrecommendations! Published in 2018 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2018.1557159
Abstract: ABSTRACT We study the Cauchy representation formula for analytic functions on the unit disc whose pointwise boundary value function is distributionally integrable. We prove that the formula holds when the distributional boundary values exist, and… read more here.
Keywords: cauchy integral; integral formula; formula; boundary values ... See more keywords