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Bochner riesz conjecture

WebAlso, the local smoothing conjecture of Sogge [22] is known to imply the maxi- mal Bochner-Riesz conjecture and hence the Bochner-Riesz conjecture. Finally, the parabolic restriction conjecture is known to imply the parabolic Bochner-Riesz conjecture [4]. These equivalences, together with the ones discussed in this paper, are summarized … WebAug 3, 2024 · Finally, oscillato ry integral approach has its own limit to prove Bochner-Riesz conjecture. As is now well ko wn ([8, 61, 32, 13]), the sharp L p – L q estimates for the oscillatory oper ators ...

Bochner-Riesz means - Encyclopedia of Mathematics

<∞. WebNov 4, 2009 · In this note we show the sharp L p –L q boundedness of multiplier operators of Bochner–Riesz type having negative indices of which singularity is located in degenerate curve in $${\mathbb{R}^2}$$ . ... The weak-type endpoint Bochner-Riesz conjecture and related topics. Indiana Univ. Math. J. 47, 1097–1124 (1998) Article MATH MathSciNet ... david\u0027s bill https://wooferseu.com

The Multiplier Problem for the Ball

WebFor the Bochner–Riesz means of multiple Fourier integral, it includes the Fefferman theorem which negates the Disc multiplier conjecture, the famous Carleson-Sjölin theorem, and Carbery-Rubio de Francia-Vega's work on almost everywhere convergence of the Bochner–Riesz means below the critical index. WebFeb 1, 1999 · Duke Mathematical Journal. 1 February 1999 The Bochner-Riesz conjecture implies the restriction conjecture WebWe initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials satisfying linear recurrence relations of finite length; the classical bb 62 marinai bari

Spectra of Bochner-Riesz means on $L^p$ - ResearchGate

Category:arXiv:2103.05813v2 [math.OA] 24 Sep 2024

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Bochner riesz conjecture

Square function estimates for the Bochner-Riesz means

WebSince then, the Bochner-Riesz conjecture plays a crucial role in Fourier analysis. In the early 1970s, Carleson and Sjo¨lin [4], as well as Fefferman [7], settled the Bochner-Riesz conjecture in the plane. While for Rn, n≥ 3, the conjecture is widely open. In higher dimensions, Tomas [17] proved that the Bochner-Riesz conjecture is Webunless d = 1 or p = 2, which unexpectedly is not the limit case of the Bochner-Riesz conjecture. Recently, T. Tao [10] obtained an interesting result that the Bochner-Riesz …

Bochner riesz conjecture

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WebDuke Mathematical Journal. 1 February 1999 The Bochner-Riesz conjecture implies the restriction conjecture WebIn continuation to [12], we prove a generalization of the classical theorem of Bochner on Fourier integral transforms to quaternion functions belonging to a subclass of B. The underlying functions are continuous functions of bounded variation defined in R~2 and taking values on the quaternion algebra.

WebYong-Cheol Kim. For , we consider the Bochner-Riesz operator of index defined by Then we prove the Bochner-Riesz conjecture which states that if and then is a bounded … WebBochner–Riesz means can be defined and developed in different settings: multiple Fourier integrals; multiple Fourier series; other orthogonal series expansions. Below these three …

WebLectures on Bochner-Riesz Means. Search within full text. Get access. Cited by 26. Katherine Michelle Davis, Yang-Chun Chang. Publisher: Cambridge University Press. … WebFIGURE 1. A.e. convergence of Bochner-Riesz means in the plane. The purpose of this paper is to improve upon the positive results in [20]. More precisely, we show Theorem …

WebJan 3, 2024 · Shanzhen Lu and Dunyan Yan, Bochner-Riesz means on Euclidean spaces, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013. MR 3156282, DOI 10.1142/8745; T. P. Lukashenko, Analogues of the Kolmogorov-Seliverstov-Plessner theorem for nonorthogonal systems of functions, Mat.

WebWe recall that both Bochner–Riesz Conjecture and the theorem by Fefferman–Stein–Tomas are stated on the Euclidean space Rn, but the results on Rn and on Tn are equivalent by a transference method (see [19]). Noticing that Tn is a special compact manifold, Sogge further extends the sharp result bb 64 ld berapaWebBochner-Riesz conjecture De ne n;p as n;p = max n 0;n 1 p 1 2 1 2 o: (2) Conjecture (Bochner-Riesz) T is strong (p;p) when > n;p. The endpoint n;p is given by the … bb 64 temper temperWebA half-serious diagram of Bochner-Riesz and restriction conjecture inter-relationships. (note: you may need to set "EPS clip" on ghostview to see this properly). A brief … david\u0027s bistro facebook