A sharp bilinear cone restriction estimate

By T. Wol. 2001

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View Paper: https://www.semanticscholar.org/paper/437161b74ca0260164274c9c009f42e0ccfa76b7

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Citations in the corpus

A note on the Fourier transform of fractal measures (2004, unknown): “, [8], [11]), it suffices to prove that for each n and for each pair I ∼ J , |I| = |J | = 2−n, (20) ‖f∨ I f∨ J ‖L1(μ) .”
Recent progress on the Kakeya conjecture (2000, unknown): “C A ] 2 8 O ct”
Sharp local well-posedness results for the nonlinear wave equation (2005, methodology): “We remark that a wave packet parametrix has been used by Wolff [31] in order to prove certain sharp bilinear estimates for the constant coefficient wave equation.”
Energy Dispersed Large Data Wave Maps in 2 + 1 Dimensions (2009, methodology): “Strichartz and Wolff type bounds 43 6.”
Recent progress on the restriction conjecture (2003, methodology): “Fortunately, a way out of this complexity was discovered by Wolff [97] - which is to hide all this recursive complexity in an induction hypothesis, which we now refer to as an induction on scales argument.”
A local smoothing estimate in higher dimensions (2002, background): “For further discussion we refer the reader to e.g. [1], [3], [5], [6], [ 9 ], [10].”
Nonlinear Schrodinger Equations at Critical Regularity (2013, background): “20 was conjectured by Klainerman and Machedon and that Tao indicates that his work was inspired by the analogous result for the wave equation, [107].”
Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators (2004, methodology): “Our arguments are similar to those in [9], which make use of the bilinear restriction estimate for the cone (see [24], [14]) with some bilinear techniques developed in [17], [18], and [19] to obtain some sharp L p -”
Littlewood–Paley Decompositions Related to Symmetric Cones and Bergman Projections in Tube Domains (2004, background): “In the ‘blank region’, our main contribution up to now is Theorem 4.25, which gives the equivalence between boundedness of P in L p;q and the inequality kLbfkLp;q . kfkBp;q ; for f 2 D :ð5:1Þ Recall that the natural range of indices for this question is > 12n 1; 16 p <1; 26 q < eq ;p; while the ‘bla”
Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type (2001, unknown): “, [15], [1], [20].”
A refinement of the Strichartz inequality for the wave equation with applications (2012, methodology): “Proof of Theorem 3.1 We require the following lemma, which is a simplification of Proposition 4.1, with a weaker hypothesis, but with a weaker smallness of the remainder property and considered together with the space-time translations, the Lorentz symmetries and rescalings.”