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Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces
Frontiers of Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, Dashan, Zhao, Fayou
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Conjectures and problems on Bochner-Riesz means
Frontiers of Mathematics in China, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spectra of Generalized Bochner–Riesz Means on Weighted Spaces
Numerical Functional Analysis and Optimization, 2019AbstractIn this paper, we introduce a family of generalized Bochner–Riesz means and show that their spectra on weighted Lp spaces, 1 ...
Qiquan Fang, Xiangxing Tao
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Bochner–Riesz Means of Morrey Functions
Journal of Fourier Analysis and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adams, David R., Xiao, Jie
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Bochner–Riesz Means and K-Functional on Compact Manifolds
Results in Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dashan Fan, Junyan Zhao
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Lectures on Bochner-Riesz Means
1987This book is concerned with the modern theory of Fourier series. Treating developments since Zygmund's classic study, the authors begin with a thorough discussion of the classical one-dimensional theory from a modern perspective. The text then takes up the developments of the 1970s, beginning with Fefferman's famous disc counterexample. The culminating
Katherine Michelle Davis +1 more
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A note on the “hyperbolic” Bochner-Riesz means
Proceedings of the American Mathematical Society, 1984We consider the L p ( R 2 ) {L^p}({{\mathbf {R}}^2}) boundedness properties of the Fourier multiplier m ( ξ
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On Fejer and Bochner-Riesz Means
Journal of Fourier Analysis and Applications, 2005For the Fejer means on \(L_p(R), 1\le p\le\infty\) an equivalence between the rate of its convergence and an appropriate K-functional is established. For the Bochner-Riesz means on \(L_p(R^d), 1\le p\le\infty, d=1,2,\dots\) an equivalence between the rate of convergence and the corresponding K-functional is obtained.
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Bochner–Riesz Means with Respect to a Generalized Cylinder
Integral Equations and Operator Theory, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heo, Yaryong +2 more
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BOCHNER–RIESZ MEANS ON BLOCK-SOBOLEV SPACES IN COMPACT LIE GROUP
Journal of the Australian Mathematical Society, 2020On a compact Lie group$G$of dimension$n$, we study the Bochner–Riesz mean$S_{R}^{\unicode[STIX]{x1D6FC}}(f)$of the Fourier series for a function$f$. At the critical index$\unicode[STIX]{x1D6FC}=(n-1)/2$, we obtain the convergence rate for$S_{R}^{(n-1)/2}(f)$when$f$is a function in the block-Sobolev space.
Chen, Jiecheng, Fan, Dashan, Zhao, Fayou
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