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On sharp constants in higher order Adams-Cianchi inequalities

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arxiv 2411.00293 v1 pith:JGHYQZZH submitted 2024-11-01 math.AP math.FA

Prasun Roychowdhury , Daniel Spector This is my paper · ORCID
classification math.APmath.FA
keywords sharpconstantsinequalitiesorderadamsadams-cianchiandreabrezis
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The main results of this paper are the establishment of sharp constants for several families of critical Sobolev embeddings. These inequalities were pioneered by David R. Adams, while the sharp constant in the first order case is due to Andrea Cianchi. We also prove a trace improvement of an inequality obtained independently by K. Hansson and H. Brezis and S. Wainger.

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  1. Uncentered Fractional Maximal functions and mean oscillation spaces associated with dyadic Hausdorff content

    math.FA 2025-06 conditional novelty 8.0 of 10

    Fractional maximal operators map BMO functions into Hausdorff-content BLO spaces, send BMO to VMO via uniform continuity, and preserve vanishing mean oscillation spaces adapted to dyadic Hausdorff content.

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