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Measure families with the same Fuglede p-modulus

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Abstract

We study the Fuglede p-modulus of a certain family of measures \(\Sigma \). These measures are push-forward measures of a certain fixed measure. We show the existence of a natural family of measures \({\mathcal {T}}\) associated with \(\Sigma \). We study the possibility of the equality of p-moduli of these two families.

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I wish to thank the anonymous referee for the careful reading of the manuscript and suggested improvements.

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Correspondence to Małgorzata Ciska-Niedziałomska.

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Ciska-Niedziałomska, M. Measure families with the same Fuglede p-modulus. Arch. Math. 119, 63–74 (2022). https://doi.org/10.1007/s00013-022-01735-z

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  • DOI: https://doi.org/10.1007/s00013-022-01735-z

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