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September 12, 2025Ufimskii Matematicheskii ZhurnalOpen Access

Dimensions of Riesz products and pluriharmonic measures

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Authors

EDEvgueni Doubtsov

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Overview

Analysis reveals lower bounds for energy dimension in Riesz products, highlighting implications for Hausdorff dimensions.

Key Points

  • The study establishes a lower bound for energy dimension in Riesz products, impacting how we understand complex measures.
  • This results in a direct estimate of the Hausdorff dimension of Riesz products, aiding in harmonic analysis.
  • Another analytical method verifies these estimates using one-dimensional approaches and their decomposition.
  • The findings also provide sharp estimates for the Hausdorff dimension of pluriharmonic measures on n-dimensional tori.

Cite This Study

Evgueni Doubtsov (2025) studied this question.

synapsesocial.com/papers/68d44b3031b076d99fa5485bhttps://doi.org/10.13108/2025-17-3-1
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Dimensions of Riesz products and pluriharmonic measures2024
  2. 2Equivalent Riesz products on the unit sphere2026
  3. 3Mutual singularity of Riesz products on the unit sphere2024
  4. 4Dimension conservation of harmonic measures in products of hyperbolic spaces2024
  5. 5Riesz Inequality for Harmonic Quasiregular Mappings2024