Results 51 to 60 of about 2,907 (125)
Almost Everywhere Convergence of Quasiradial Bochner-Riesz Means
Journal of Mathematical Analysis and Applications, 1999 The author proves \((1,1)\)-boundedness of the maximal Bochner-Riesz operator \[ M^\delta_\rho f(x)=\sup\limits_{t>0}|R^\delta_{\rho,t} f(x)|, \] where \[ R^\delta_{\rho,t}=[(1-\rho/t)^\delta_+ \widehat{f}]^\vee (x) \] is a quasiradial Bochner-Riesz operator for \(\delta>(n-1)/2\), where \(\rho\) is a smooth distance function, which satisfies a weak ...
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On the Bochner-Riesz means of critical order [PDF]
Proceedings of the American Mathematical Society, 1997 The author considers the linear means \[ L^\lambda_N(f; x):=\sum_k \lambda\Biggl({k\over N}\Biggr) \widehat f(k)e^{ikx} \] of the multiple Fourier series of \(f\in L^1(\mathbb{T}^n)\), where \(\lambda\) is a continuous function and \(n\) is a positive integer.
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Weighted inequalities for Bochner-Riesz means in the plane [PDF]
The Quarterly Journal of Mathematics, 2000 The authors establish weighted inequalities for the Bochner-Riesz means and the corresponding maximal operator in the plane. These capture the known \(L^q\) results for these operators simultaneously for all values of \(q>2\). The sharp \(L^4\) estimate for the natural square function associated to the problem is also obtained.
Carbery, Anthony, Seeger, Andreas
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Bochner–Riesz means associated with conical surfaces
Journal of Mathematical Analysis and Applications, 2013 AbstractLet d1 and d2 be two nonnegative integers greater than 2. We study the Fourier multiplier Tλ associated with a conical surface S={(ξ,τ)∈Rd1×Rd2:|ξ|=|τ|}, defined by Tλf̂(ξ,τ)=(1−|ξ|2|τ|2)+λΨ(|τ|)f̂(ξ,τ),(ξ,τ)∈Rd1×Rd2, where Ψ is a smooth function defined on R, that is supported in (1/2,2).
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Szegő Kernel Asymptotics on Complete Strictly Pseudoconvex CR Manifolds. [PDF]
J Geom Anal, 2022 Hsiao CY, Marinescu G, Wang H.
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The generalized localization principle for Bochner-Riesz means
Hokkaido Mathematical Journal, 1992 Let \(f\in L^ p(\mathbb{R}^ n)\), \(1\leq p\leq 2\). The Bochner-Riesz means with index \(\alpha\) of \(f\) are defined via Fourier transform by \[ (B^ \alpha_ R f)^ \land(\xi)=\left(1-{| \xi|^ 2\over R^ 2}\right)^ \alpha_ +\widehat f(\xi),\quad ...
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Bilinear Bochner-Riesz Means for Grushin Operators
This paper is devoted to the study of $L^{p_1} \times L^{p_2}$ to $L^{p}$ boundedness of the bilinear Bochner-Riesz mean $\mathcal{B}^α$ associated with the Grushin operator $\mathcal{L} = -Δ_{x'} - |x'|^2 Δ_{x''}$ on $\mathbb{R}^{d_1} \times \mathbb{R}^{d_2}$.
Bagchi, Sayan +2 more
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Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation. [PDF]
Ann PDE, 2021 Colombo M, Haffter S.
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Bochner–Riesz means at the critical index: weighted and sparse bounds
Mathematische Annalen39 pages, 1 ...
David Beltran +2 more
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The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications. [PDF]
Stoch Partial Differ Equ, 2022 Balan RM +3 more
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