Bochner riesz conjecture
WebWe improve the Bochner-Riesz conjecture in $\mathbb{R}^3$ to $\max\{p,p/(p-1)\}\geq3.25$. Global Survey. In just 3 minutes help us understand how you see arXiv. … WebDuke Mathematical Journal. 1 February 1999 The Bochner-Riesz conjecture implies the restriction conjecture
Bochner riesz conjecture
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WebThe Fourier restriction conjecture and the Bochner-Riesz conjecture ask for Lebesgue space mapping properties of certain oscillatory integral operators. They both are central … WebMar 8, 1971 · singular Bochner-Riesz spherical summation operators, defined by Taf(x) = [max (1 - x 12, 0)If(x). For each 3 > 0, one expects T, to be bounded on a certain range of LP's, and [3] proves the analogue of the disc conjecture for all To with a greater than a critical value a, It therefore comes as a surprise, at least to me, that the disc conjecture
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 ... 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
WebBochner-Riesz Multipliers George Kinnear, University of Edinburgh May 5, 2010 To determine when we have the Fourier inversion formula, f(x) = Z Rn fb(x)e2pixxdx we … WebON THE MAXIMAL BOCHNER-RIESZ CONJECTURE IN THE PLANE FOR p<2 TERENCE TAO Abstract. We give a new estimate on the maximal Bochner-Riesz operator in the …
WebOF BOCHNER-RIESZ MEANS IN HIGHER DIMENSIONS MICHAEL CHRIST ABSTRACT. In Rn define (TXirf)~(£) = /(£)(! - k_1í2l)+- If n > 3, ... Carleson and Sjölin [3] proved the conjecture in dimension two. Moreover, in R2 Carbery [1] has established boundedness of Tx on Lp, and hence almost everywhere convergence of Bochner-Riesz means, for the …
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. bodmin grandmother clockWebJun 19, 2024 · On the maximal Bochner–Riesz conjecture in the plane for \(p<2\). Trans. Am. Math. Soc. 354(5), 1947–1959 (2002). MR 1881025. Article MathSciNet Google Scholar Download references. Acknowledgements. The research was supported by National Natural Science Foundation of China (Grant Nos. 11471288, 11971295), Natural Science … bodmin gates and railingsWebWe 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 bodmin general stationbodmin ghost walkWebSquare function conjecture • Conjecture. For 2 α(p)−1/2. • When d= 2, the conjecture was verified by Carbery (1983) via an adaptation of Fefferman and Cordoba arguments which prove Bochner-Riesz conjecture in R2. • For p≥ 2(d+1) d−1, Christ (1985): using the Tomas-Stein restriction ... bodmin gpp bosvena healthWebFIGURE 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 … bodmin golf courseWebRecent progress on Bochner-Riesz conjecture. T δ f ^ ( ξ) = ( 1 − ξ 2) + δ f ^ ( ξ). ( ( 1 − ξ 2) + δ are known as Bochner-Riesz multipliers .) We are interested in the L p … clogau december birthstone bracelet