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
Higher Schwarzian derivative and Dirichlet Morrey space
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DOI: 10.2298/fil1917489t
Abstract: We treat the logarithmic derivative model and Schwarzian derivative model of the Dirichlet-Morrey Teichm?ller space. It is shown that the higher Bers maps, induced by the higher Schwarzian differential operators, are holomorphic in Dirichlet-Morrey Teichm?ller… read more here.
Keywords: space; higher schwarzian; schwarzian derivative; dirichlet morrey ... See more keywords