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Extremal Decomposition of a Multidimensional Complex Space with Poles on the Boundary of a Polydisk

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Current Trends in Analysis, its Applications and Computation

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Abstract

In the paper we obtain estimates of the maximums of products of generalized inner radii of mutually non-overlapping polycylindrical domains in \(\mathbb {C}^{n}\). The main theorems of the paper generalize and strengthening known results in the theory of non-overlapping domains with free poles on the unit circle onto the case of n-dimensional complex space.

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Acknowledgements

The present work is financially held up by the budget program “Support of the development of priority trends of scientific researches” (KPKVK 6541230).

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Denega, I. (2022). Extremal Decomposition of a Multidimensional Complex Space with Poles on the Boundary of a Polydisk. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_14

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