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- W4286890892 abstract "In this paper, we study, in a separable metric space, a class of Hausdorff measures $HHH_mu^{q, xi}$ defined using a measure $mu$ and a premeasure $xi$. We discuss a Hausdorff structure of product sets. Weighted Hausdorff measures $W_mu^{q, xi}$ appeared as an important tool when studying the product sets. When $mu$ and $xi$ are blanketed, we prove that $HHH_mu^{q, xi} = W_mu^{q, xi}$. As an application, the case when $xi$ is defined as the Hausdorff function is considered." @default.
- W4286890892 created "2022-07-25" @default.
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- W4286890892 date "2021-10-28" @default.
- W4286890892 modified "2023-09-27" @default.
- W4286890892 title "On a class of Hausdorff measure of cartesian product sets" @default.
- W4286890892 doi "https://doi.org/10.48550/arxiv.2111.00907" @default.
- W4286890892 hasPublicationYear "2021" @default.
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