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Creators/Authors contains: "Ou, Yumeng"

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  1. ; ; (, Journal of Functional Analysis)
    Free, publicly-accessible full text available January 1, 2026
  2. ; ; ; (, AMS)
    Accepted Manuscript Full Text Available
  3. ; ; (, Transactions of the American Mathematical Society)
    Full Text Available 
  4. ; ; ; ; (, Mathematische Annalen)
    null (Ed.)
    Full Text Available 
  5. ; ; ; ; ; (, American Journal of Mathematics)
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  6. ; ; ; ; (, Journal of the London Mathematical Society)
    Abstract We derive sparse bounds for the bilinear spherical maximal function in any dimension . When , this immediately recovers the sharp bound of the operator and implies quantitative weighted norm inequalities with respect to bilinear Muckenhoupt weights, which seems to be the first of their kind for the operator. The key innovation is a group of newly developed continuity improving estimates for the single‐scale bilinear spherical averaging operator. 
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  7. ; ; ; (, Inventiones mathematicae)
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  8. ; ; ; (, Stochastics and Partial Differential Equations: Analysis and Computations)
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  9. ; ; ; (, Advances in Mathematics)
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  10. ; (, Journal d’analyse mathématique)
    The article arXiv:1309.0945 by Do and Thiele develops a theory of Carleson embeddings in outer Lp spaces for the wave packet transform of functions in L^p, in the 2≤p≤∞ range referred to as local L^2. In this article, we formulate a suitable extension of this theory to exponents 1<2, answering a question posed in arXiv:1309.0945. The proof of our main embedding theorem involves a refined multi-frequency Calder\'on-Zygmund decomposition. We apply our embedding theorem to recover the full known range of Lp estimates for the bilinear Hilbert transforms without reducing to discrete model sums or appealing to generalized restricted weak-type interpolation. 
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    Accepted Manuscript Full Text Available