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  1. Article

    Open Access

    A Strong-Type Furstenberg–Sárközy Theorem for Sets of Positive Measure

    For every \(\beta \in (0,\infty )\) β ∈ ( ...

    Polona Durcik, Vjekoslav Kovač, Mario Stipčić in The Journal of Geometric Analysis (2023)

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    Article

    Local bounds for singular Brascamp–Lieb forms with cubical structure

    We prove a range of \(L^p\) L p ...

    Polona Durcik, Lenka Slavíková, Christoph Thiele in Mathematische Zeitschrift (2022)

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    Article

    Power-type cancellation for the simplex Hilbert transform

    We prove Lp bounds for the truncated simplex Hilbert transform which grow with a power less than one of the truncation range in the logarithmic scale.

    Polona Durcik, Vjekoslav Kovač, Christoph Thiele in Journal d'Analyse Mathématique (2019)