Univalent functions and Dirichlet-Morrey spaces
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DOI: 10.1080/17476933.2020.1769084
Abstract: This paper concerns univalent analytic functions f for which belong to Dirichlet-Morrey spaces. We establish some characterizations of Dirichlet-Morrey domains. Our results involve Schwarzian derivatives, quasiconformal extensions and Grunsky kernels of univalent functions. read more here.
Keywords: functions dirichlet; morrey spaces; dirichlet morrey; univalent functions ... See more keywords
Derivation of arithmetical functions under the Dirichlet convolution
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DOI: 10.1142/s1793042118500781
Abstract: We present the group-theoretic structure of the classes of multiplicative and firmly multiplicative arithmetical functions of several variables under the Dirichlet convolution, and we give characterizations of these two classes in terms of a derivation… read more here.
Keywords: dirichlet convolution; functions dirichlet; arithmetical functions; derivation arithmetical ... See more keywords