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Conjugate function and the modulus of continuity of k-th order

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Abstract

The estimates of the partial moduli of continuity of k-th order (k≧3) of the conjugate functions of several variables are obtained in the space ℂ(T n). The exactness of these estimates is established by proper examples.

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  1. Faculty of Exact and Natural Sciences, I. Javakhshvili Tbilisi State University, 13, University St., Tbilisi, 0143, Georgia

    Ana Danelia

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  1. Ana Danelia
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Correspondence to Ana Danelia.

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Danelia, A. Conjugate function and the modulus of continuity of k-th order. Acta Math Hung 138, 281–293 (2013). https://doi.org/10.1007/s10474-012-0258-8

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  • DOI: https://doi.org/10.1007/s10474-012-0258-8

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