Outer Functions in Classes of Analytic Functions of Variable Smoothness
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DOI: 10.1007/s10958-020-05091-7
Abstract: We use a Holder condition with respect to a variable exponent Lebesgue norm to introduce classes of analytic functions in a disc and of holomorphic functions in a ball. We describe outer functions in the… read more here.
Keywords: analytic functions; variable smoothness; functions classes; functions variable ... See more keywords
Bohr Inequalities in Some Classes of Analytic Functions
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DOI: 10.1007/s10958-020-05165-6
Abstract: The paper is a review of the latest results of I. R. Kayumov and S. Ponnusamy on the Bohr inequality. An exact estimate in the strong Bohr inequality is obtained and the Bohr–Rogosinski radius for… read more here.
Keywords: inequalities classes; bohr inequalities; classes analytic; analytic functions ... See more keywords